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Finding the Third Proportional to 2,656,964.25 and 3,728,244.38

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Solution

The third proportional to 2,656,964.25 and 3,728,244.38 is: 5,231,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,964.25 : 3,728,244.38 = 3,728,244.38 : x
  2. Step 2: Convert to fraction form
    2,656,964.25/3,728,244.38 = 3,728,244.38/x
  3. Step 3: Cross multiply
    2,656,964.25x = 3,728,244.38 × 3,728,244.38
  4. Step 4: Simplify right side
    2,656,964.25x = 13,899,806,119,719.14
  5. Step 5: Solve for x
    x = 13,899,806,119,719.14/2,656,964.25
  6. Step 6: Final answer
    x = 5,231,461.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.