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Finding the Third Proportional to 895,374 and 1,843,233

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Solution

The third proportional to 895,374 and 1,843,233 is: 3,794,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,374 : 1,843,233 = 1,843,233 : x
  2. Step 2: Convert to fraction form
    895,374/1,843,233 = 1,843,233/x
  3. Step 3: Cross multiply
    895,374x = 1,843,233 × 1,843,233
  4. Step 4: Simplify right side
    895,374x = 3,397,507,892,289
  5. Step 5: Solve for x
    x = 3,397,507,892,289/895,374
  6. Step 6: Final answer
    x = 3,794,512.56

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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.