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Finding the Third Proportional to 2,272,536 and 4,972,671

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Solution

The third proportional to 2,272,536 and 4,972,671 is: 10,880,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,536 : 4,972,671 = 4,972,671 : x
  2. Step 2: Convert to fraction form
    2,272,536/4,972,671 = 4,972,671/x
  3. Step 3: Cross multiply
    2,272,536x = 4,972,671 × 4,972,671
  4. Step 4: Simplify right side
    2,272,536x = 24,727,456,874,241
  5. Step 5: Solve for x
    x = 24,727,456,874,241/2,272,536
  6. Step 6: Final answer
    x = 10,880,996.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.