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Finding the Third Proportional to 1,015,215 and 2,257,367.25

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Solution

The third proportional to 1,015,215 and 2,257,367.25 is: 5,019,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,215 : 2,257,367.25 = 2,257,367.25 : x
  2. Step 2: Convert to fraction form
    1,015,215/2,257,367.25 = 2,257,367.25/x
  3. Step 3: Cross multiply
    1,015,215x = 2,257,367.25 × 2,257,367.25
  4. Step 4: Simplify right side
    1,015,215x = 5,095,706,901,372.56
  5. Step 5: Solve for x
    x = 5,095,706,901,372.56/1,015,215
  6. Step 6: Final answer
    x = 5,019,337.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.