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Finding the Third Proportional to 2,024,802 and 4,403,889

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Solution

The third proportional to 2,024,802 and 4,403,889 is: 9,578,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,802 : 4,403,889 = 4,403,889 : x
  2. Step 2: Convert to fraction form
    2,024,802/4,403,889 = 4,403,889/x
  3. Step 3: Cross multiply
    2,024,802x = 4,403,889 × 4,403,889
  4. Step 4: Simplify right side
    2,024,802x = 19,394,238,324,321
  5. Step 5: Solve for x
    x = 19,394,238,324,321/2,024,802
  6. Step 6: Final answer
    x = 9,578,338.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.