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Finding the Third Proportional to 2,290,757 and 5,175,516

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Solution

The third proportional to 2,290,757 and 5,175,516 is: 11,693,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290,757 : 5,175,516 = 5,175,516 : x
  2. Step 2: Convert to fraction form
    2,290,757/5,175,516 = 5,175,516/x
  3. Step 3: Cross multiply
    2,290,757x = 5,175,516 × 5,175,516
  4. Step 4: Simplify right side
    2,290,757x = 26,785,965,866,256
  5. Step 5: Solve for x
    x = 26,785,965,866,256/2,290,757
  6. Step 6: Final answer
    x = 11,693,062.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.