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Finding the Third Proportional to 2,324,875 and 4,926,311

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Solution

The third proportional to 2,324,875 and 4,926,311 is: 10,438,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,875 : 4,926,311 = 4,926,311 : x
  2. Step 2: Convert to fraction form
    2,324,875/4,926,311 = 4,926,311/x
  3. Step 3: Cross multiply
    2,324,875x = 4,926,311 × 4,926,311
  4. Step 4: Simplify right side
    2,324,875x = 24,268,540,068,721
  5. Step 5: Solve for x
    x = 24,268,540,068,721/2,324,875
  6. Step 6: Final answer
    x = 10,438,642.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.