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Finding the Third Proportional to 2,413,563 and 5,287,977

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Solution

The third proportional to 2,413,563 and 5,287,977 is: 11,585,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,563 : 5,287,977 = 5,287,977 : x
  2. Step 2: Convert to fraction form
    2,413,563/5,287,977 = 5,287,977/x
  3. Step 3: Cross multiply
    2,413,563x = 5,287,977 × 5,287,977
  4. Step 4: Simplify right side
    2,413,563x = 27,962,700,752,529
  5. Step 5: Solve for x
    x = 27,962,700,752,529/2,413,563
  6. Step 6: Final answer
    x = 11,585,651.90

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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.