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Finding the Third Proportional to 768,460 and 1,234,704

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Solution

The third proportional to 768,460 and 1,234,704 is: 1,983,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,460 : 1,234,704 = 1,234,704 : x
  2. Step 2: Convert to fraction form
    768,460/1,234,704 = 1,234,704/x
  3. Step 3: Cross multiply
    768,460x = 1,234,704 × 1,234,704
  4. Step 4: Simplify right side
    768,460x = 1,524,493,967,616
  5. Step 5: Solve for x
    x = 1,524,493,967,616/768,460
  6. Step 6: Final answer
    x = 1,983,829.96

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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.