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Finding the Third Proportional to 766,872 and 1,660,701

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Solution

The third proportional to 766,872 and 1,660,701 is: 3,596,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,872 : 1,660,701 = 1,660,701 : x
  2. Step 2: Convert to fraction form
    766,872/1,660,701 = 1,660,701/x
  3. Step 3: Cross multiply
    766,872x = 1,660,701 × 1,660,701
  4. Step 4: Simplify right side
    766,872x = 2,757,927,811,401
  5. Step 5: Solve for x
    x = 2,757,927,811,401/766,872
  6. Step 6: Final answer
    x = 3,596,333.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.