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Finding the Third Proportional to 1,497,632 and 3,231,456

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Solution

The third proportional to 1,497,632 and 3,231,456 is: 6,972,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,632 : 3,231,456 = 3,231,456 : x
  2. Step 2: Convert to fraction form
    1,497,632/3,231,456 = 3,231,456/x
  3. Step 3: Cross multiply
    1,497,632x = 3,231,456 × 3,231,456
  4. Step 4: Simplify right side
    1,497,632x = 10,442,307,879,936
  5. Step 5: Solve for x
    x = 10,442,307,879,936/1,497,632
  6. Step 6: Final answer
    x = 6,972,545.91

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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.