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Finding the Third Proportional to 791,299.13 and 1,226,041.31

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Solution

The third proportional to 791,299.13 and 1,226,041.31 is: 1,899,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,299.13 : 1,226,041.31 = 1,226,041.31 : x
  2. Step 2: Convert to fraction form
    791,299.13/1,226,041.31 = 1,226,041.31/x
  3. Step 3: Cross multiply
    791,299.13x = 1,226,041.31 × 1,226,041.31
  4. Step 4: Simplify right side
    791,299.13x = 1,503,177,299,956.72
  5. Step 5: Solve for x
    x = 1,503,177,299,956.72/791,299.13
  6. Step 6: Final answer
    x = 1,899,632.20

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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.