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Finding the Third Proportional to 429,858 and 894,603

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Solution

The third proportional to 429,858 and 894,603 is: 1,861,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,858 : 894,603 = 894,603 : x
  2. Step 2: Convert to fraction form
    429,858/894,603 = 894,603/x
  3. Step 3: Cross multiply
    429,858x = 894,603 × 894,603
  4. Step 4: Simplify right side
    429,858x = 800,314,527,609
  5. Step 5: Solve for x
    x = 800,314,527,609/429,858
  6. Step 6: Final answer
    x = 1,861,811.41

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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.