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Finding the Third Proportional to 952,914 and 2,094,743

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Solution

The third proportional to 952,914 and 2,094,743 is: 4,604,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,914 : 2,094,743 = 2,094,743 : x
  2. Step 2: Convert to fraction form
    952,914/2,094,743 = 2,094,743/x
  3. Step 3: Cross multiply
    952,914x = 2,094,743 × 2,094,743
  4. Step 4: Simplify right side
    952,914x = 4,387,948,236,049
  5. Step 5: Solve for x
    x = 4,387,948,236,049/952,914
  6. Step 6: Final answer
    x = 4,604,768.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.