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Finding the Third Proportional to 2,409,744 and 5,019,248

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Solution

The third proportional to 2,409,744 and 5,019,248 is: 10,454,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,744 : 5,019,248 = 5,019,248 : x
  2. Step 2: Convert to fraction form
    2,409,744/5,019,248 = 5,019,248/x
  3. Step 3: Cross multiply
    2,409,744x = 5,019,248 × 5,019,248
  4. Step 4: Simplify right side
    2,409,744x = 25,192,850,485,504
  5. Step 5: Solve for x
    x = 25,192,850,485,504/2,409,744
  6. Step 6: Final answer
    x = 10,454,575.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.