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Finding the Third Proportional to 2,434,384 and 4,942,496

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Solution

The third proportional to 2,434,384 and 4,942,496 is: 10,034,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,384 : 4,942,496 = 4,942,496 : x
  2. Step 2: Convert to fraction form
    2,434,384/4,942,496 = 4,942,496/x
  3. Step 3: Cross multiply
    2,434,384x = 4,942,496 × 4,942,496
  4. Step 4: Simplify right side
    2,434,384x = 24,428,266,710,016
  5. Step 5: Solve for x
    x = 24,428,266,710,016/2,434,384
  6. Step 6: Final answer
    x = 10,034,680.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.