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Finding the Third Proportional to 861,681 and 1,840,650

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Solution

The third proportional to 861,681 and 1,840,650 is: 3,931,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,681 : 1,840,650 = 1,840,650 : x
  2. Step 2: Convert to fraction form
    861,681/1,840,650 = 1,840,650/x
  3. Step 3: Cross multiply
    861,681x = 1,840,650 × 1,840,650
  4. Step 4: Simplify right side
    861,681x = 3,387,992,422,500
  5. Step 5: Solve for x
    x = 3,387,992,422,500/861,681
  6. Step 6: Final answer
    x = 3,931,840.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.