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Finding the Third Proportional to 1,002,163.64 and 1,361,561.91

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Solution

The third proportional to 1,002,163.64 and 1,361,561.91 is: 1,849,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,163.64 : 1,361,561.91 = 1,361,561.91 : x
  2. Step 2: Convert to fraction form
    1,002,163.64/1,361,561.91 = 1,361,561.91/x
  3. Step 3: Cross multiply
    1,002,163.64x = 1,361,561.91 × 1,361,561.91
  4. Step 4: Simplify right side
    1,002,163.64x = 1,853,850,824,551.13
  5. Step 5: Solve for x
    x = 1,853,850,824,551.13/1,002,163.64
  6. Step 6: Final answer
    x = 1,849,848.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.