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Finding the Third Proportional to 768,436 and 1,234,670

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Solution

The third proportional to 768,436 and 1,234,670 is: 1,983,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,436 : 1,234,670 = 1,234,670 : x
  2. Step 2: Convert to fraction form
    768,436/1,234,670 = 1,234,670/x
  3. Step 3: Cross multiply
    768,436x = 1,234,670 × 1,234,670
  4. Step 4: Simplify right side
    768,436x = 1,524,410,008,900
  5. Step 5: Solve for x
    x = 1,524,410,008,900/768,436
  6. Step 6: Final answer
    x = 1,983,782.66

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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.