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Finding the Third Proportional to 861,582 and 1,207,363.50

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Solution

The third proportional to 861,582 and 1,207,363.50 is: 1,691,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,582 : 1,207,363.50 = 1,207,363.50 : x
  2. Step 2: Convert to fraction form
    861,582/1,207,363.50 = 1,207,363.50/x
  3. Step 3: Cross multiply
    861,582x = 1,207,363.50 × 1,207,363.50
  4. Step 4: Simplify right side
    861,582x = 1,457,726,621,132.25
  5. Step 5: Solve for x
    x = 1,457,726,621,132.25/861,582
  6. Step 6: Final answer
    x = 1,691,918.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.