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Finding the Third Proportional to 851,637 and 1,854,474

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Solution

The third proportional to 851,637 and 1,854,474 is: 4,038,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,637 : 1,854,474 = 1,854,474 : x
  2. Step 2: Convert to fraction form
    851,637/1,854,474 = 1,854,474/x
  3. Step 3: Cross multiply
    851,637x = 1,854,474 × 1,854,474
  4. Step 4: Simplify right side
    851,637x = 3,439,073,816,676
  5. Step 5: Solve for x
    x = 3,439,073,816,676/851,637
  6. Step 6: Final answer
    x = 4,038,192.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.