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Finding the Third Proportional to 866,637 and 1,932,432

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Solution

The third proportional to 866,637 and 1,932,432 is: 4,308,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,637 : 1,932,432 = 1,932,432 : x
  2. Step 2: Convert to fraction form
    866,637/1,932,432 = 1,932,432/x
  3. Step 3: Cross multiply
    866,637x = 1,932,432 × 1,932,432
  4. Step 4: Simplify right side
    866,637x = 3,734,293,434,624
  5. Step 5: Solve for x
    x = 3,734,293,434,624/866,637
  6. Step 6: Final answer
    x = 4,308,947.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.