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Finding the Third Proportional to 2,586,432 and 5,620,496

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Solution

The third proportional to 2,586,432 and 5,620,496 is: 12,213,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,432 : 5,620,496 = 5,620,496 : x
  2. Step 2: Convert to fraction form
    2,586,432/5,620,496 = 5,620,496/x
  3. Step 3: Cross multiply
    2,586,432x = 5,620,496 × 5,620,496
  4. Step 4: Simplify right side
    2,586,432x = 31,589,975,286,016
  5. Step 5: Solve for x
    x = 31,589,975,286,016/2,586,432
  6. Step 6: Final answer
    x = 12,213,727.36

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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.