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Finding the Third Proportional to 1,188,278.16 and 2,565,979.88

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Solution

The third proportional to 1,188,278.16 and 2,565,979.88 is: 5,541,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,278.16 : 2,565,979.88 = 2,565,979.88 : x
  2. Step 2: Convert to fraction form
    1,188,278.16/2,565,979.88 = 2,565,979.88/x
  3. Step 3: Cross multiply
    1,188,278.16x = 2,565,979.88 × 2,565,979.88
  4. Step 4: Simplify right side
    1,188,278.16x = 6,584,252,718,905.02
  5. Step 5: Solve for x
    x = 6,584,252,718,905.02/1,188,278.16
  6. Step 6: Final answer
    x = 5,541,002.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.