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Finding the Third Proportional to 539,584.13 and 1,165,621.88

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Solution

The third proportional to 539,584.13 and 1,165,621.88 is: 2,518,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,584.13 : 1,165,621.88 = 1,165,621.88 : x
  2. Step 2: Convert to fraction form
    539,584.13/1,165,621.88 = 1,165,621.88/x
  3. Step 3: Cross multiply
    539,584.13x = 1,165,621.88 × 1,165,621.88
  4. Step 4: Simplify right side
    539,584.13x = 1,358,674,355,478.52
  5. Step 5: Solve for x
    x = 1,358,674,355,478.52/539,584.13
  6. Step 6: Final answer
    x = 2,518,002.83

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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.