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Finding the Third Proportional to 582,922.13 and 1,260,646.31

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Solution

The third proportional to 582,922.13 and 1,260,646.31 is: 2,726,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,922.13 : 1,260,646.31 = 1,260,646.31 : x
  2. Step 2: Convert to fraction form
    582,922.13/1,260,646.31 = 1,260,646.31/x
  3. Step 3: Cross multiply
    582,922.13x = 1,260,646.31 × 1,260,646.31
  4. Step 4: Simplify right side
    582,922.13x = 1,589,229,125,219.85
  5. Step 5: Solve for x
    x = 1,589,229,125,219.85/582,922.13
  6. Step 6: Final answer
    x = 2,726,314.64

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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.