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Finding the Third Proportional to 531,909 and 1,152,432

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Solution

The third proportional to 531,909 and 1,152,432 is: 2,496,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,909 : 1,152,432 = 1,152,432 : x
  2. Step 2: Convert to fraction form
    531,909/1,152,432 = 1,152,432/x
  3. Step 3: Cross multiply
    531,909x = 1,152,432 × 1,152,432
  4. Step 4: Simplify right side
    531,909x = 1,328,099,514,624
  5. Step 5: Solve for x
    x = 1,328,099,514,624/531,909
  6. Step 6: Final answer
    x = 2,496,854.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.