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Finding the Third Proportional to 742,252 and 1,654,496

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Solution

The third proportional to 742,252 and 1,654,496 is: 3,687,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,252 : 1,654,496 = 1,654,496 : x
  2. Step 2: Convert to fraction form
    742,252/1,654,496 = 1,654,496/x
  3. Step 3: Cross multiply
    742,252x = 1,654,496 × 1,654,496
  4. Step 4: Simplify right side
    742,252x = 2,737,357,014,016
  5. Step 5: Solve for x
    x = 2,737,357,014,016/742,252
  6. Step 6: Final answer
    x = 3,687,907.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.