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Finding the Third Proportional to 542,871.28 and 1,072,117.69

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Solution

The third proportional to 542,871.28 and 1,072,117.69 is: 2,117,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,871.28 : 1,072,117.69 = 1,072,117.69 : x
  2. Step 2: Convert to fraction form
    542,871.28/1,072,117.69 = 1,072,117.69/x
  3. Step 3: Cross multiply
    542,871.28x = 1,072,117.69 × 1,072,117.69
  4. Step 4: Simplify right side
    542,871.28x = 1,149,436,335,850.35
  5. Step 5: Solve for x
    x = 1,149,436,335,850.35/542,871.28
  6. Step 6: Final answer
    x = 2,117,327.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.