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Finding the Third Proportional to 1,002,023 and 1,552,181

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Solution

The third proportional to 1,002,023 and 1,552,181 is: 2,404,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,023 : 1,552,181 = 1,552,181 : x
  2. Step 2: Convert to fraction form
    1,002,023/1,552,181 = 1,552,181/x
  3. Step 3: Cross multiply
    1,002,023x = 1,552,181 × 1,552,181
  4. Step 4: Simplify right side
    1,002,023x = 2,409,265,856,761
  5. Step 5: Solve for x
    x = 2,409,265,856,761/1,002,023
  6. Step 6: Final answer
    x = 2,404,401.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.