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Finding the Third Proportional to 854,662 and 1,823,737

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Solution

The third proportional to 854,662 and 1,823,737 is: 3,891,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,662 : 1,823,737 = 1,823,737 : x
  2. Step 2: Convert to fraction form
    854,662/1,823,737 = 1,823,737/x
  3. Step 3: Cross multiply
    854,662x = 1,823,737 × 1,823,737
  4. Step 4: Simplify right side
    854,662x = 3,326,016,645,169
  5. Step 5: Solve for x
    x = 3,326,016,645,169/854,662
  6. Step 6: Final answer
    x = 3,891,616.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.