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Finding the Third Proportional to 2,391,075 and 5,123,267

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Solution

The third proportional to 2,391,075 and 5,123,267 is: 10,977,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391,075 : 5,123,267 = 5,123,267 : x
  2. Step 2: Convert to fraction form
    2,391,075/5,123,267 = 5,123,267/x
  3. Step 3: Cross multiply
    2,391,075x = 5,123,267 × 5,123,267
  4. Step 4: Simplify right side
    2,391,075x = 26,247,864,753,289
  5. Step 5: Solve for x
    x = 26,247,864,753,289/2,391,075
  6. Step 6: Final answer
    x = 10,977,432.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.