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Finding the Third Proportional to 728,910 and 1,531,530

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Solution

The third proportional to 728,910 and 1,531,530 is: 3,217,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,910 : 1,531,530 = 1,531,530 : x
  2. Step 2: Convert to fraction form
    728,910/1,531,530 = 1,531,530/x
  3. Step 3: Cross multiply
    728,910x = 1,531,530 × 1,531,530
  4. Step 4: Simplify right side
    728,910x = 2,345,584,140,900
  5. Step 5: Solve for x
    x = 2,345,584,140,900/728,910
  6. Step 6: Final answer
    x = 3,217,933.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.