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Finding the Third Proportional to 429,856 and 894,598

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Solution

The third proportional to 429,856 and 894,598 is: 1,861,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,856 : 894,598 = 894,598 : x
  2. Step 2: Convert to fraction form
    429,856/894,598 = 894,598/x
  3. Step 3: Cross multiply
    429,856x = 894,598 × 894,598
  4. Step 4: Simplify right side
    429,856x = 800,305,581,604
  5. Step 5: Solve for x
    x = 800,305,581,604/429,856
  6. Step 6: Final answer
    x = 1,861,799.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.