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Finding the Third Proportional to 2,338,182 and 5,024,461

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Solution

The third proportional to 2,338,182 and 5,024,461 is: 10,796,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,182 : 5,024,461 = 5,024,461 : x
  2. Step 2: Convert to fraction form
    2,338,182/5,024,461 = 5,024,461/x
  3. Step 3: Cross multiply
    2,338,182x = 5,024,461 × 5,024,461
  4. Step 4: Simplify right side
    2,338,182x = 25,245,208,340,521
  5. Step 5: Solve for x
    x = 25,245,208,340,521/2,338,182
  6. Step 6: Final answer
    x = 10,796,938.96

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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.