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Finding the Third Proportional to 2,338,280 and 5,024,657

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Solution

The third proportional to 2,338,280 and 5,024,657 is: 10,797,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,280 : 5,024,657 = 5,024,657 : x
  2. Step 2: Convert to fraction form
    2,338,280/5,024,657 = 5,024,657/x
  3. Step 3: Cross multiply
    2,338,280x = 5,024,657 × 5,024,657
  4. Step 4: Simplify right side
    2,338,280x = 25,247,177,967,649
  5. Step 5: Solve for x
    x = 25,247,177,967,649/2,338,280
  6. Step 6: Final answer
    x = 10,797,328.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.