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Finding the Third Proportional to 582,887.81 and 1,260,577.13

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Solution

The third proportional to 582,887.81 and 1,260,577.13 is: 2,726,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,887.81 : 1,260,577.13 = 1,260,577.13 : x
  2. Step 2: Convert to fraction form
    582,887.81/1,260,577.13 = 1,260,577.13/x
  3. Step 3: Cross multiply
    582,887.81x = 1,260,577.13 × 1,260,577.13
  4. Step 4: Simplify right side
    582,887.81x = 1,589,054,688,073.27
  5. Step 5: Solve for x
    x = 1,589,054,688,073.27/582,887.81
  6. Step 6: Final answer
    x = 2,726,175.87

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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.