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Finding the Third Proportional to 895,374 and 1,843,234

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Solution

The third proportional to 895,374 and 1,843,234 is: 3,794,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,374 : 1,843,234 = 1,843,234 : x
  2. Step 2: Convert to fraction form
    895,374/1,843,234 = 1,843,234/x
  3. Step 3: Cross multiply
    895,374x = 1,843,234 × 1,843,234
  4. Step 4: Simplify right side
    895,374x = 3,397,511,578,756
  5. Step 5: Solve for x
    x = 3,397,511,578,756/895,374
  6. Step 6: Final answer
    x = 3,794,516.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.