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Finding the Third Proportional to 1,561,540.78 and 3,761,814.66

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Solution

The third proportional to 1,561,540.78 and 3,761,814.66 is: 9,062,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,540.78 : 3,761,814.66 = 3,761,814.66 : x
  2. Step 2: Convert to fraction form
    1,561,540.78/3,761,814.66 = 3,761,814.66/x
  3. Step 3: Cross multiply
    1,561,540.78x = 3,761,814.66 × 3,761,814.66
  4. Step 4: Simplify right side
    1,561,540.78x = 14,151,249,507,977.30
  5. Step 5: Solve for x
    x = 14,151,249,507,977.30/1,561,540.78
  6. Step 6: Final answer
    x = 9,062,363.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.