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Finding the Third Proportional to 582,104 and 1,272,422

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Solution

The third proportional to 582,104 and 1,272,422 is: 2,781,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,104 : 1,272,422 = 1,272,422 : x
  2. Step 2: Convert to fraction form
    582,104/1,272,422 = 1,272,422/x
  3. Step 3: Cross multiply
    582,104x = 1,272,422 × 1,272,422
  4. Step 4: Simplify right side
    582,104x = 1,619,057,746,084
  5. Step 5: Solve for x
    x = 1,619,057,746,084/582,104
  6. Step 6: Final answer
    x = 2,781,389.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.