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Finding the Third Proportional to 1,198,963 and 2,508,769

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Solution

The third proportional to 1,198,963 and 2,508,769 is: 5,249,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,963 : 2,508,769 = 2,508,769 : x
  2. Step 2: Convert to fraction form
    1,198,963/2,508,769 = 2,508,769/x
  3. Step 3: Cross multiply
    1,198,963x = 2,508,769 × 2,508,769
  4. Step 4: Simplify right side
    1,198,963x = 6,293,921,895,361
  5. Step 5: Solve for x
    x = 6,293,921,895,361/1,198,963
  6. Step 6: Final answer
    x = 5,249,471.33

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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.