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Finding the Third Proportional to 429,971 and 895,234

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Solution

The third proportional to 429,971 and 895,234 is: 1,863,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,971 : 895,234 = 895,234 : x
  2. Step 2: Convert to fraction form
    429,971/895,234 = 895,234/x
  3. Step 3: Cross multiply
    429,971x = 895,234 × 895,234
  4. Step 4: Simplify right side
    429,971x = 801,443,914,756
  5. Step 5: Solve for x
    x = 801,443,914,756/429,971
  6. Step 6: Final answer
    x = 1,863,948.77

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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.