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Finding the Third Proportional to 786,978 and 1,720,759

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Solution

The third proportional to 786,978 and 1,720,759 is: 3,762,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,978 : 1,720,759 = 1,720,759 : x
  2. Step 2: Convert to fraction form
    786,978/1,720,759 = 1,720,759/x
  3. Step 3: Cross multiply
    786,978x = 1,720,759 × 1,720,759
  4. Step 4: Simplify right side
    786,978x = 2,961,011,536,081
  5. Step 5: Solve for x
    x = 2,961,011,536,081/786,978
  6. Step 6: Final answer
    x = 3,762,508.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.