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Finding the Third Proportional to 895,223 and 1,744,762

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Solution

The third proportional to 895,223 and 1,744,762 is: 3,400,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,223 : 1,744,762 = 1,744,762 : x
  2. Step 2: Convert to fraction form
    895,223/1,744,762 = 1,744,762/x
  3. Step 3: Cross multiply
    895,223x = 1,744,762 × 1,744,762
  4. Step 4: Simplify right side
    895,223x = 3,044,194,436,644
  5. Step 5: Solve for x
    x = 3,044,194,436,644/895,223
  6. Step 6: Final answer
    x = 3,400,487.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.