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Finding the Third Proportional to 768,432 and 1,234,656

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Solution

The third proportional to 768,432 and 1,234,656 is: 1,983,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,432 : 1,234,656 = 1,234,656 : x
  2. Step 2: Convert to fraction form
    768,432/1,234,656 = 1,234,656/x
  3. Step 3: Cross multiply
    768,432x = 1,234,656 × 1,234,656
  4. Step 4: Simplify right side
    768,432x = 1,524,375,438,336
  5. Step 5: Solve for x
    x = 1,524,375,438,336/768,432
  6. Step 6: Final answer
    x = 1,983,747.99

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