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Finding the Third Proportional to 776,360 and 1,696,653

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Solution

The third proportional to 776,360 and 1,696,653 is: 3,707,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,360 : 1,696,653 = 1,696,653 : x
  2. Step 2: Convert to fraction form
    776,360/1,696,653 = 1,696,653/x
  3. Step 3: Cross multiply
    776,360x = 1,696,653 × 1,696,653
  4. Step 4: Simplify right side
    776,360x = 2,878,631,402,409
  5. Step 5: Solve for x
    x = 2,878,631,402,409/776,360
  6. Step 6: Final answer
    x = 3,707,856.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.