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Finding the Third Proportional to 728,491 and 1,102,898

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Solution

The third proportional to 728,491 and 1,102,898 is: 1,669,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,491 : 1,102,898 = 1,102,898 : x
  2. Step 2: Convert to fraction form
    728,491/1,102,898 = 1,102,898/x
  3. Step 3: Cross multiply
    728,491x = 1,102,898 × 1,102,898
  4. Step 4: Simplify right side
    728,491x = 1,216,383,998,404
  5. Step 5: Solve for x
    x = 1,216,383,998,404/728,491
  6. Step 6: Final answer
    x = 1,669,730.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.