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Finding the Third Proportional to 774,818,708,574 and 1,090,640,020,320

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Solution

The third proportional to 774,818,708,574 and 1,090,640,020,320 is: 1,535,192,220,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,818,708,574 : 1,090,640,020,320 = 1,090,640,020,320 : x
  2. Step 2: Convert to fraction form
    774,818,708,574/1,090,640,020,320 = 1,090,640,020,320/x
  3. Step 3: Cross multiply
    774,818,708,574x = 1,090,640,020,320 × 1,090,640,020,320
  4. Step 4: Simplify right side
    774,818,708,574x = 1,189,495,653,923,610,070,876,160
  5. Step 5: Solve for x
    x = 1,189,495,653,923,610,070,876,160/774,818,708,574
  6. Step 6: Final answer
    x = 1,535,192,220,787.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.