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Finding the Third Proportional to 778,442 and 1,657,324

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Solution

The third proportional to 778,442 and 1,657,324 is: 3,528,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,442 : 1,657,324 = 1,657,324 : x
  2. Step 2: Convert to fraction form
    778,442/1,657,324 = 1,657,324/x
  3. Step 3: Cross multiply
    778,442x = 1,657,324 × 1,657,324
  4. Step 4: Simplify right side
    778,442x = 2,746,722,840,976
  5. Step 5: Solve for x
    x = 2,746,722,840,976/778,442
  6. Step 6: Final answer
    x = 3,528,487.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.