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Finding the Third Proportional to 425,781.56 and 929,930.63

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Solution

The third proportional to 425,781.56 and 929,930.63 is: 2,031,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,781.56 : 929,930.63 = 929,930.63 : x
  2. Step 2: Convert to fraction form
    425,781.56/929,930.63 = 929,930.63/x
  3. Step 3: Cross multiply
    425,781.56x = 929,930.63 × 929,930.63
  4. Step 4: Simplify right side
    425,781.56x = 864,770,967,312.89
  5. Step 5: Solve for x
    x = 864,770,967,312.89/425,781.56
  6. Step 6: Final answer
    x = 2,031,020.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.