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Finding the Third Proportional to 531,384 and 1,149,600

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Solution

The third proportional to 531,384 and 1,149,600 is: 2,487,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,384 : 1,149,600 = 1,149,600 : x
  2. Step 2: Convert to fraction form
    531,384/1,149,600 = 1,149,600/x
  3. Step 3: Cross multiply
    531,384x = 1,149,600 × 1,149,600
  4. Step 4: Simplify right side
    531,384x = 1,321,580,160,000
  5. Step 5: Solve for x
    x = 1,321,580,160,000/531,384
  6. Step 6: Final answer
    x = 2,487,052.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.