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Finding the Third Proportional to 858,493.69 and 1,328,695.31

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Solution

The third proportional to 858,493.69 and 1,328,695.31 is: 2,056,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,493.69 : 1,328,695.31 = 1,328,695.31 : x
  2. Step 2: Convert to fraction form
    858,493.69/1,328,695.31 = 1,328,695.31/x
  3. Step 3: Cross multiply
    858,493.69x = 1,328,695.31 × 1,328,695.31
  4. Step 4: Simplify right side
    858,493.69x = 1,765,431,233,459.47
  5. Step 5: Solve for x
    x = 1,765,431,233,459.47/858,493.69
  6. Step 6: Final answer
    x = 2,056,428.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.