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Finding the Third Proportional to 582,411.75 and 1,193,052

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Solution

The third proportional to 582,411.75 and 1,193,052 is: 2,443,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,411.75 : 1,193,052 = 1,193,052 : x
  2. Step 2: Convert to fraction form
    582,411.75/1,193,052 = 1,193,052/x
  3. Step 3: Cross multiply
    582,411.75x = 1,193,052 × 1,193,052
  4. Step 4: Simplify right side
    582,411.75x = 1,423,373,074,704
  5. Step 5: Solve for x
    x = 1,423,373,074,704/582,411.75
  6. Step 6: Final answer
    x = 2,443,929.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.