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Finding the Third Proportional to 1,182,184.88 and 2,600,565.75

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Solution

The third proportional to 1,182,184.88 and 2,600,565.75 is: 5,720,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,184.88 : 2,600,565.75 = 2,600,565.75 : x
  2. Step 2: Convert to fraction form
    1,182,184.88/2,600,565.75 = 2,600,565.75/x
  3. Step 3: Cross multiply
    1,182,184.88x = 2,600,565.75 × 2,600,565.75
  4. Step 4: Simplify right side
    1,182,184.88x = 6,762,942,220,073.06
  5. Step 5: Solve for x
    x = 6,762,942,220,073.06/1,182,184.88
  6. Step 6: Final answer
    x = 5,720,714.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.