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Finding the Third Proportional to 781,702 and 1,713,038

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Solution

The third proportional to 781,702 and 1,713,038 is: 3,753,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,702 : 1,713,038 = 1,713,038 : x
  2. Step 2: Convert to fraction form
    781,702/1,713,038 = 1,713,038/x
  3. Step 3: Cross multiply
    781,702x = 1,713,038 × 1,713,038
  4. Step 4: Simplify right side
    781,702x = 2,934,499,189,444
  5. Step 5: Solve for x
    x = 2,934,499,189,444/781,702
  6. Step 6: Final answer
    x = 3,753,987.06

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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.