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Finding the Third Proportional to 709,671 and 1,100,949

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Solution

The third proportional to 709,671 and 1,100,949 is: 1,707,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,671 : 1,100,949 = 1,100,949 : x
  2. Step 2: Convert to fraction form
    709,671/1,100,949 = 1,100,949/x
  3. Step 3: Cross multiply
    709,671x = 1,100,949 × 1,100,949
  4. Step 4: Simplify right side
    709,671x = 1,212,088,700,601
  5. Step 5: Solve for x
    x = 1,212,088,700,601/709,671
  6. Step 6: Final answer
    x = 1,707,958.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.