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Finding the Third Proportional to 2,211,021 and 4,687,749

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Solution

The third proportional to 2,211,021 and 4,687,749 is: 9,938,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,021 : 4,687,749 = 4,687,749 : x
  2. Step 2: Convert to fraction form
    2,211,021/4,687,749 = 4,687,749/x
  3. Step 3: Cross multiply
    2,211,021x = 4,687,749 × 4,687,749
  4. Step 4: Simplify right side
    2,211,021x = 21,974,990,687,001
  5. Step 5: Solve for x
    x = 21,974,990,687,001/2,211,021
  6. Step 6: Final answer
    x = 9,938,843.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.