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Finding the Third Proportional to 615,449 and 1,279,822

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Solution

The third proportional to 615,449 and 1,279,822 is: 2,661,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,449 : 1,279,822 = 1,279,822 : x
  2. Step 2: Convert to fraction form
    615,449/1,279,822 = 1,279,822/x
  3. Step 3: Cross multiply
    615,449x = 1,279,822 × 1,279,822
  4. Step 4: Simplify right side
    615,449x = 1,637,944,351,684
  5. Step 5: Solve for x
    x = 1,637,944,351,684/615,449
  6. Step 6: Final answer
    x = 2,661,381.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.