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Finding the Third Proportional to 753,854 and 1,165,776

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Solution

The third proportional to 753,854 and 1,165,776 is: 1,802,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,854 : 1,165,776 = 1,165,776 : x
  2. Step 2: Convert to fraction form
    753,854/1,165,776 = 1,165,776/x
  3. Step 3: Cross multiply
    753,854x = 1,165,776 × 1,165,776
  4. Step 4: Simplify right side
    753,854x = 1,359,033,682,176
  5. Step 5: Solve for x
    x = 1,359,033,682,176/753,854
  6. Step 6: Final answer
    x = 1,802,781.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.