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Finding the Third Proportional to 915,902 and 1,347,351

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Solution

The third proportional to 915,902 and 1,347,351 is: 1,982,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,902 : 1,347,351 = 1,347,351 : x
  2. Step 2: Convert to fraction form
    915,902/1,347,351 = 1,347,351/x
  3. Step 3: Cross multiply
    915,902x = 1,347,351 × 1,347,351
  4. Step 4: Simplify right side
    915,902x = 1,815,354,717,201
  5. Step 5: Solve for x
    x = 1,815,354,717,201/915,902
  6. Step 6: Final answer
    x = 1,982,040.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.