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Finding the Third Proportional to 499,747 and 1,092,695

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Solution

The third proportional to 499,747 and 1,092,695 is: 2,389,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,747 : 1,092,695 = 1,092,695 : x
  2. Step 2: Convert to fraction form
    499,747/1,092,695 = 1,092,695/x
  3. Step 3: Cross multiply
    499,747x = 1,092,695 × 1,092,695
  4. Step 4: Simplify right side
    499,747x = 1,193,982,363,025
  5. Step 5: Solve for x
    x = 1,193,982,363,025/499,747
  6. Step 6: Final answer
    x = 2,389,173.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.