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Finding the Third Proportional to 600,929 and 1,218,452

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Solution

The third proportional to 600,929 and 1,218,452 is: 2,470,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,929 : 1,218,452 = 1,218,452 : x
  2. Step 2: Convert to fraction form
    600,929/1,218,452 = 1,218,452/x
  3. Step 3: Cross multiply
    600,929x = 1,218,452 × 1,218,452
  4. Step 4: Simplify right side
    600,929x = 1,484,625,276,304
  5. Step 5: Solve for x
    x = 1,484,625,276,304/600,929
  6. Step 6: Final answer
    x = 2,470,550.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.