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Finding the Third Proportional to 418,538 and 894,532

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Solution

The third proportional to 418,538 and 894,532 is: 1,911,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,538 : 894,532 = 894,532 : x
  2. Step 2: Convert to fraction form
    418,538/894,532 = 894,532/x
  3. Step 3: Cross multiply
    418,538x = 894,532 × 894,532
  4. Step 4: Simplify right side
    418,538x = 800,187,499,024
  5. Step 5: Solve for x
    x = 800,187,499,024/418,538
  6. Step 6: Final answer
    x = 1,911,863.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.