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Finding the Third Proportional to 1,011,629 and 2,116,780

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Solution

The third proportional to 1,011,629 and 2,116,780 is: 4,429,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,629 : 2,116,780 = 2,116,780 : x
  2. Step 2: Convert to fraction form
    1,011,629/2,116,780 = 2,116,780/x
  3. Step 3: Cross multiply
    1,011,629x = 2,116,780 × 2,116,780
  4. Step 4: Simplify right side
    1,011,629x = 4,480,757,568,400
  5. Step 5: Solve for x
    x = 4,480,757,568,400/1,011,629
  6. Step 6: Final answer
    x = 4,429,249.82

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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.