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Finding the Third Proportional to 415,492 and 894,538

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Solution

The third proportional to 415,492 and 894,538 is: 1,925,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,492 : 894,538 = 894,538 : x
  2. Step 2: Convert to fraction form
    415,492/894,538 = 894,538/x
  3. Step 3: Cross multiply
    415,492x = 894,538 × 894,538
  4. Step 4: Simplify right side
    415,492x = 800,198,233,444
  5. Step 5: Solve for x
    x = 800,198,233,444/415,492
  6. Step 6: Final answer
    x = 1,925,905.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.