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Finding the Third Proportional to 969,746 and 2,057,698

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Solution

The third proportional to 969,746 and 2,057,698 is: 4,366,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,746 : 2,057,698 = 2,057,698 : x
  2. Step 2: Convert to fraction form
    969,746/2,057,698 = 2,057,698/x
  3. Step 3: Cross multiply
    969,746x = 2,057,698 × 2,057,698
  4. Step 4: Simplify right side
    969,746x = 4,234,121,059,204
  5. Step 5: Solve for x
    x = 4,234,121,059,204/969,746
  6. Step 6: Final answer
    x = 4,366,216.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.