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Finding the Third Proportional to 2,507,199 and 5,413,401

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Solution

The third proportional to 2,507,199 and 5,413,401 is: 11,688,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,199 : 5,413,401 = 5,413,401 : x
  2. Step 2: Convert to fraction form
    2,507,199/5,413,401 = 5,413,401/x
  3. Step 3: Cross multiply
    2,507,199x = 5,413,401 × 5,413,401
  4. Step 4: Simplify right side
    2,507,199x = 29,304,910,386,801
  5. Step 5: Solve for x
    x = 29,304,910,386,801/2,507,199
  6. Step 6: Final answer
    x = 11,688,306.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.