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Finding the Third Proportional to 768,414 and 1,234,632

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Solution

The third proportional to 768,414 and 1,234,632 is: 1,983,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,414 : 1,234,632 = 1,234,632 : x
  2. Step 2: Convert to fraction form
    768,414/1,234,632 = 1,234,632/x
  3. Step 3: Cross multiply
    768,414x = 1,234,632 × 1,234,632
  4. Step 4: Simplify right side
    768,414x = 1,524,316,175,424
  5. Step 5: Solve for x
    x = 1,524,316,175,424/768,414
  6. Step 6: Final answer
    x = 1,983,717.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.