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Finding the Third Proportional to 2,044,338.75 and 4,427,206.88

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Solution

The third proportional to 2,044,338.75 and 4,427,206.88 is: 9,587,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,338.75 : 4,427,206.88 = 4,427,206.88 : x
  2. Step 2: Convert to fraction form
    2,044,338.75/4,427,206.88 = 4,427,206.88/x
  3. Step 3: Cross multiply
    2,044,338.75x = 4,427,206.88 × 4,427,206.88
  4. Step 4: Simplify right side
    2,044,338.75x = 19,600,160,714,047.27
  5. Step 5: Solve for x
    x = 19,600,160,714,047.27/2,044,338.75
  6. Step 6: Final answer
    x = 9,587,530.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.