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Finding the Third Proportional to 2,247,210 and 4,952,511

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Solution

The third proportional to 2,247,210 and 4,952,511 is: 10,914,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247,210 : 4,952,511 = 4,952,511 : x
  2. Step 2: Convert to fraction form
    2,247,210/4,952,511 = 4,952,511/x
  3. Step 3: Cross multiply
    2,247,210x = 4,952,511 × 4,952,511
  4. Step 4: Simplify right side
    2,247,210x = 24,527,365,205,121
  5. Step 5: Solve for x
    x = 24,527,365,205,121/2,247,210
  6. Step 6: Final answer
    x = 10,914,585.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.