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Finding the Third Proportional to 1,986,747 and 4,153,374

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Solution

The third proportional to 1,986,747 and 4,153,374 is: 8,682,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986,747 : 4,153,374 = 4,153,374 : x
  2. Step 2: Convert to fraction form
    1,986,747/4,153,374 = 4,153,374/x
  3. Step 3: Cross multiply
    1,986,747x = 4,153,374 × 4,153,374
  4. Step 4: Simplify right side
    1,986,747x = 17,250,515,583,876
  5. Step 5: Solve for x
    x = 17,250,515,583,876/1,986,747
  6. Step 6: Final answer
    x = 8,682,794.33

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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.