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Finding the Third Proportional to 709,824.38 and 1,548,109.88

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Solution

The third proportional to 709,824.38 and 1,548,109.88 is: 3,376,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,824.38 : 1,548,109.88 = 1,548,109.88 : x
  2. Step 2: Convert to fraction form
    709,824.38/1,548,109.88 = 1,548,109.88/x
  3. Step 3: Cross multiply
    709,824.38x = 1,548,109.88 × 1,548,109.88
  4. Step 4: Simplify right side
    709,824.38x = 2,396,644,185,072.52
  5. Step 5: Solve for x
    x = 2,396,644,185,072.52/709,824.38
  6. Step 6: Final answer
    x = 3,376,390.37

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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.