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Finding the Third Proportional to 755,397 and 1,472,241

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Solution

The third proportional to 755,397 and 1,472,241 is: 2,869,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,397 : 1,472,241 = 1,472,241 : x
  2. Step 2: Convert to fraction form
    755,397/1,472,241 = 1,472,241/x
  3. Step 3: Cross multiply
    755,397x = 1,472,241 × 1,472,241
  4. Step 4: Simplify right side
    755,397x = 2,167,493,562,081
  5. Step 5: Solve for x
    x = 2,167,493,562,081/755,397
  6. Step 6: Final answer
    x = 2,869,343.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.