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Finding the Third Proportional to 768,456 and 1,234,698

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Solution

The third proportional to 768,456 and 1,234,698 is: 1,983,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,456 : 1,234,698 = 1,234,698 : x
  2. Step 2: Convert to fraction form
    768,456/1,234,698 = 1,234,698/x
  3. Step 3: Cross multiply
    768,456x = 1,234,698 × 1,234,698
  4. Step 4: Simplify right side
    768,456x = 1,524,479,151,204
  5. Step 5: Solve for x
    x = 1,524,479,151,204/768,456
  6. Step 6: Final answer
    x = 1,983,821.00

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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.