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Finding the Third Proportional to 1,561,666 and 3,258,884

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Solution

The third proportional to 1,561,666 and 3,258,884 is: 6,800,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,666 : 3,258,884 = 3,258,884 : x
  2. Step 2: Convert to fraction form
    1,561,666/3,258,884 = 3,258,884/x
  3. Step 3: Cross multiply
    1,561,666x = 3,258,884 × 3,258,884
  4. Step 4: Simplify right side
    1,561,666x = 10,620,324,925,456
  5. Step 5: Solve for x
    x = 10,620,324,925,456/1,561,666
  6. Step 6: Final answer
    x = 6,800,637.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.