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Finding the Third Proportional to 895,227 and 1,744,770

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Solution

The third proportional to 895,227 and 1,744,770 is: 3,400,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,227 : 1,744,770 = 1,744,770 : x
  2. Step 2: Convert to fraction form
    895,227/1,744,770 = 1,744,770/x
  3. Step 3: Cross multiply
    895,227x = 1,744,770 × 1,744,770
  4. Step 4: Simplify right side
    895,227x = 3,044,222,352,900
  5. Step 5: Solve for x
    x = 3,044,222,352,900/895,227
  6. Step 6: Final answer
    x = 3,400,503.28

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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.