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Finding the Third Proportional to 2,241,675 and 4,864,374

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Solution

The third proportional to 2,241,675 and 4,864,374 is: 10,555,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,675 : 4,864,374 = 4,864,374 : x
  2. Step 2: Convert to fraction form
    2,241,675/4,864,374 = 4,864,374/x
  3. Step 3: Cross multiply
    2,241,675x = 4,864,374 × 4,864,374
  4. Step 4: Simplify right side
    2,241,675x = 23,662,134,411,876
  5. Step 5: Solve for x
    x = 23,662,134,411,876/2,241,675
  6. Step 6: Final answer
    x = 10,555,559.75

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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.