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Finding the Third Proportional to 969,909 and 2,094,690

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Solution

The third proportional to 969,909 and 2,094,690 is: 4,523,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,909 : 2,094,690 = 2,094,690 : x
  2. Step 2: Convert to fraction form
    969,909/2,094,690 = 2,094,690/x
  3. Step 3: Cross multiply
    969,909x = 2,094,690 × 2,094,690
  4. Step 4: Simplify right side
    969,909x = 4,387,726,196,100
  5. Step 5: Solve for x
    x = 4,387,726,196,100/969,909
  6. Step 6: Final answer
    x = 4,523,853.47

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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.