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Finding the Third Proportional to 969,894 and 2,094,660

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Solution

The third proportional to 969,894 and 2,094,660 is: 4,523,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,894 : 2,094,660 = 2,094,660 : x
  2. Step 2: Convert to fraction form
    969,894/2,094,660 = 2,094,660/x
  3. Step 3: Cross multiply
    969,894x = 2,094,660 × 2,094,660
  4. Step 4: Simplify right side
    969,894x = 4,387,600,515,600
  5. Step 5: Solve for x
    x = 4,387,600,515,600/969,894
  6. Step 6: Final answer
    x = 4,523,793.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.