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Finding the Third Proportional to 609,384 and 927,048

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Solution

The third proportional to 609,384 and 927,048 is: 1,410,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,384 : 927,048 = 927,048 : x
  2. Step 2: Convert to fraction form
    609,384/927,048 = 927,048/x
  3. Step 3: Cross multiply
    609,384x = 927,048 × 927,048
  4. Step 4: Simplify right side
    609,384x = 859,417,994,304
  5. Step 5: Solve for x
    x = 859,417,994,304/609,384
  6. Step 6: Final answer
    x = 1,410,306.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.