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Finding the Third Proportional to 531,727 and 1,166,809

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Solution

The third proportional to 531,727 and 1,166,809 is: 2,560,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,727 : 1,166,809 = 1,166,809 : x
  2. Step 2: Convert to fraction form
    531,727/1,166,809 = 1,166,809/x
  3. Step 3: Cross multiply
    531,727x = 1,166,809 × 1,166,809
  4. Step 4: Simplify right side
    531,727x = 1,361,443,242,481
  5. Step 5: Solve for x
    x = 1,361,443,242,481/531,727
  6. Step 6: Final answer
    x = 2,560,417.74

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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.