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Finding the Third Proportional to 727,930 and 1,575,092

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Solution

The third proportional to 727,930 and 1,575,092 is: 3,408,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,930 : 1,575,092 = 1,575,092 : x
  2. Step 2: Convert to fraction form
    727,930/1,575,092 = 1,575,092/x
  3. Step 3: Cross multiply
    727,930x = 1,575,092 × 1,575,092
  4. Step 4: Simplify right side
    727,930x = 2,480,914,808,464
  5. Step 5: Solve for x
    x = 2,480,914,808,464/727,930
  6. Step 6: Final answer
    x = 3,408,177.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.