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Finding the Third Proportional to 799,031 and 1,711,780

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Solution

The third proportional to 799,031 and 1,711,780 is: 3,667,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,031 : 1,711,780 = 1,711,780 : x
  2. Step 2: Convert to fraction form
    799,031/1,711,780 = 1,711,780/x
  3. Step 3: Cross multiply
    799,031x = 1,711,780 × 1,711,780
  4. Step 4: Simplify right side
    799,031x = 2,930,190,768,400
  5. Step 5: Solve for x
    x = 2,930,190,768,400/799,031
  6. Step 6: Final answer
    x = 3,667,180.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.