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Finding the Third Proportional to 745,965 and 1,609,866

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Solution

The third proportional to 745,965 and 1,609,866 is: 3,474,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,965 : 1,609,866 = 1,609,866 : x
  2. Step 2: Convert to fraction form
    745,965/1,609,866 = 1,609,866/x
  3. Step 3: Cross multiply
    745,965x = 1,609,866 × 1,609,866
  4. Step 4: Simplify right side
    745,965x = 2,591,668,537,956
  5. Step 5: Solve for x
    x = 2,591,668,537,956/745,965
  6. Step 6: Final answer
    x = 3,474,249.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.