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Finding the Third Proportional to 984,714 and 2,137,488

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Solution

The third proportional to 984,714 and 2,137,488 is: 4,639,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,714 : 2,137,488 = 2,137,488 : x
  2. Step 2: Convert to fraction form
    984,714/2,137,488 = 2,137,488/x
  3. Step 3: Cross multiply
    984,714x = 2,137,488 × 2,137,488
  4. Step 4: Simplify right side
    984,714x = 4,568,854,950,144
  5. Step 5: Solve for x
    x = 4,568,854,950,144/984,714
  6. Step 6: Final answer
    x = 4,639,778.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.