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Finding the Third Proportional to 895,369 and 1,843,225

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Solution

The third proportional to 895,369 and 1,843,225 is: 3,794,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,369 : 1,843,225 = 1,843,225 : x
  2. Step 2: Convert to fraction form
    895,369/1,843,225 = 1,843,225/x
  3. Step 3: Cross multiply
    895,369x = 1,843,225 × 1,843,225
  4. Step 4: Simplify right side
    895,369x = 3,397,478,400,625
  5. Step 5: Solve for x
    x = 3,397,478,400,625/895,369
  6. Step 6: Final answer
    x = 3,794,500.82

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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.