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Finding the Third Proportional to 582,396 and 1,193,020

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Solution

The third proportional to 582,396 and 1,193,020 is: 2,443,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,396 : 1,193,020 = 1,193,020 : x
  2. Step 2: Convert to fraction form
    582,396/1,193,020 = 1,193,020/x
  3. Step 3: Cross multiply
    582,396x = 1,193,020 × 1,193,020
  4. Step 4: Simplify right side
    582,396x = 1,423,296,720,400
  5. Step 5: Solve for x
    x = 1,423,296,720,400/582,396
  6. Step 6: Final answer
    x = 2,443,864.18

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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.