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Finding the Third Proportional to 753,767 and 1,640,382

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Solution

The third proportional to 753,767 and 1,640,382 is: 3,569,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,767 : 1,640,382 = 1,640,382 : x
  2. Step 2: Convert to fraction form
    753,767/1,640,382 = 1,640,382/x
  3. Step 3: Cross multiply
    753,767x = 1,640,382 × 1,640,382
  4. Step 4: Simplify right side
    753,767x = 2,690,853,105,924
  5. Step 5: Solve for x
    x = 2,690,853,105,924/753,767
  6. Step 6: Final answer
    x = 3,569,873.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.