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Finding the Third Proportional to 2,532,198 and 5,857,008

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Solution

The third proportional to 2,532,198 and 5,857,008 is: 13,547,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,198 : 5,857,008 = 5,857,008 : x
  2. Step 2: Convert to fraction form
    2,532,198/5,857,008 = 5,857,008/x
  3. Step 3: Cross multiply
    2,532,198x = 5,857,008 × 5,857,008
  4. Step 4: Simplify right side
    2,532,198x = 34,304,542,712,064
  5. Step 5: Solve for x
    x = 34,304,542,712,064/2,532,198
  6. Step 6: Final answer
    x = 13,547,338.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.