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Finding the Third Proportional to 984,714 and 2,137,485

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Solution

The third proportional to 984,714 and 2,137,485 is: 4,639,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,714 : 2,137,485 = 2,137,485 : x
  2. Step 2: Convert to fraction form
    984,714/2,137,485 = 2,137,485/x
  3. Step 3: Cross multiply
    984,714x = 2,137,485 × 2,137,485
  4. Step 4: Simplify right side
    984,714x = 4,568,842,125,225
  5. Step 5: Solve for x
    x = 4,568,842,125,225/984,714
  6. Step 6: Final answer
    x = 4,639,765.58

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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.