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Finding the Third Proportional to 771,234 and 1,660,864

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Solution

The third proportional to 771,234 and 1,660,864 is: 3,576,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,234 : 1,660,864 = 1,660,864 : x
  2. Step 2: Convert to fraction form
    771,234/1,660,864 = 1,660,864/x
  3. Step 3: Cross multiply
    771,234x = 1,660,864 × 1,660,864
  4. Step 4: Simplify right side
    771,234x = 2,758,469,226,496
  5. Step 5: Solve for x
    x = 2,758,469,226,496/771,234
  6. Step 6: Final answer
    x = 3,576,695.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.