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Finding the Third Proportional to 582,686.16 and 1,281,004.88

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Solution

The third proportional to 582,686.16 and 1,281,004.88 is: 2,816,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,686.16 : 1,281,004.88 = 1,281,004.88 : x
  2. Step 2: Convert to fraction form
    582,686.16/1,281,004.88 = 1,281,004.88/x
  3. Step 3: Cross multiply
    582,686.16x = 1,281,004.88 × 1,281,004.88
  4. Step 4: Simplify right side
    582,686.16x = 1,640,973,489,773.77
  5. Step 5: Solve for x
    x = 1,640,973,489,773.77/582,686.16
  6. Step 6: Final answer
    x = 2,816,221.86

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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.