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Finding the Third Proportional to 747,828 and 1,631,007

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Solution

The third proportional to 747,828 and 1,631,007 is: 3,557,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,828 : 1,631,007 = 1,631,007 : x
  2. Step 2: Convert to fraction form
    747,828/1,631,007 = 1,631,007/x
  3. Step 3: Cross multiply
    747,828x = 1,631,007 × 1,631,007
  4. Step 4: Simplify right side
    747,828x = 2,660,183,834,049
  5. Step 5: Solve for x
    x = 2,660,183,834,049/747,828
  6. Step 6: Final answer
    x = 3,557,213.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.