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Finding the Third Proportional to 3,452,964.19 and 5,400,882.56

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Solution

The third proportional to 3,452,964.19 and 5,400,882.56 is: 8,447,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452,964.19 : 5,400,882.56 = 5,400,882.56 : x
  2. Step 2: Convert to fraction form
    3,452,964.19/5,400,882.56 = 5,400,882.56/x
  3. Step 3: Cross multiply
    3,452,964.19x = 5,400,882.56 × 5,400,882.56
  4. Step 4: Simplify right side
    3,452,964.19x = 29,169,532,453,916.57
  5. Step 5: Solve for x
    x = 29,169,532,453,916.57/3,452,964.19
  6. Step 6: Final answer
    x = 8,447,678.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.