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Finding the Third Proportional to 969,888 and 2,107,654

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Solution

The third proportional to 969,888 and 2,107,654 is: 4,580,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,888 : 2,107,654 = 2,107,654 : x
  2. Step 2: Convert to fraction form
    969,888/2,107,654 = 2,107,654/x
  3. Step 3: Cross multiply
    969,888x = 2,107,654 × 2,107,654
  4. Step 4: Simplify right side
    969,888x = 4,442,205,383,716
  5. Step 5: Solve for x
    x = 4,442,205,383,716/969,888
  6. Step 6: Final answer
    x = 4,580,122.02

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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.