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Finding the Third Proportional to 582,102 and 1,272,418

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Solution

The third proportional to 582,102 and 1,272,418 is: 2,781,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,102 : 1,272,418 = 1,272,418 : x
  2. Step 2: Convert to fraction form
    582,102/1,272,418 = 1,272,418/x
  3. Step 3: Cross multiply
    582,102x = 1,272,418 × 1,272,418
  4. Step 4: Simplify right side
    582,102x = 1,619,047,566,724
  5. Step 5: Solve for x
    x = 1,619,047,566,724/582,102
  6. Step 6: Final answer
    x = 2,781,381.21

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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.