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Finding the Third Proportional to 2,998,809 and 6,581,223

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Solution

The third proportional to 2,998,809 and 6,581,223 is: 14,443,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,809 : 6,581,223 = 6,581,223 : x
  2. Step 2: Convert to fraction form
    2,998,809/6,581,223 = 6,581,223/x
  3. Step 3: Cross multiply
    2,998,809x = 6,581,223 × 6,581,223
  4. Step 4: Simplify right side
    2,998,809x = 43,312,496,175,729
  5. Step 5: Solve for x
    x = 43,312,496,175,729/2,998,809
  6. Step 6: Final answer
    x = 14,443,232.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.