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Finding the Third Proportional to 815,031 and 1,791,414

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Solution

The third proportional to 815,031 and 1,791,414 is: 3,937,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,031 : 1,791,414 = 1,791,414 : x
  2. Step 2: Convert to fraction form
    815,031/1,791,414 = 1,791,414/x
  3. Step 3: Cross multiply
    815,031x = 1,791,414 × 1,791,414
  4. Step 4: Simplify right side
    815,031x = 3,209,164,119,396
  5. Step 5: Solve for x
    x = 3,209,164,119,396/815,031
  6. Step 6: Final answer
    x = 3,937,474.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.