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Finding the Third Proportional to 781,693 and 1,713,020

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Solution

The third proportional to 781,693 and 1,713,020 is: 3,753,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,693 : 1,713,020 = 1,713,020 : x
  2. Step 2: Convert to fraction form
    781,693/1,713,020 = 1,713,020/x
  3. Step 3: Cross multiply
    781,693x = 1,713,020 × 1,713,020
  4. Step 4: Simplify right side
    781,693x = 2,934,437,520,400
  5. Step 5: Solve for x
    x = 2,934,437,520,400/781,693
  6. Step 6: Final answer
    x = 3,753,951.39

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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.