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Finding the Third Proportional to 1,497,640 and 3,231,472

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Solution

The third proportional to 1,497,640 and 3,231,472 is: 6,972,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,640 : 3,231,472 = 3,231,472 : x
  2. Step 2: Convert to fraction form
    1,497,640/3,231,472 = 3,231,472/x
  3. Step 3: Cross multiply
    1,497,640x = 3,231,472 × 3,231,472
  4. Step 4: Simplify right side
    1,497,640x = 10,442,411,286,784
  5. Step 5: Solve for x
    x = 10,442,411,286,784/1,497,640
  6. Step 6: Final answer
    x = 6,972,577.71

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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.