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Finding the Third Proportional to 2,021,206 and 3,052,867

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Solution

The third proportional to 2,021,206 and 3,052,867 is: 4,611,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,206 : 3,052,867 = 3,052,867 : x
  2. Step 2: Convert to fraction form
    2,021,206/3,052,867 = 3,052,867/x
  3. Step 3: Cross multiply
    2,021,206x = 3,052,867 × 3,052,867
  4. Step 4: Simplify right side
    2,021,206x = 9,319,996,919,689
  5. Step 5: Solve for x
    x = 9,319,996,919,689/2,021,206
  6. Step 6: Final answer
    x = 4,611,106.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.