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Finding the Third Proportional to 1,281,613.50 and 2,728,872

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Solution

The third proportional to 1,281,613.50 and 2,728,872 is: 5,810,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,613.50 : 2,728,872 = 2,728,872 : x
  2. Step 2: Convert to fraction form
    1,281,613.50/2,728,872 = 2,728,872/x
  3. Step 3: Cross multiply
    1,281,613.50x = 2,728,872 × 2,728,872
  4. Step 4: Simplify right side
    1,281,613.50x = 7,446,742,392,384
  5. Step 5: Solve for x
    x = 7,446,742,392,384/1,281,613.50
  6. Step 6: Final answer
    x = 5,810,443.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.