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Finding the Third Proportional to 619,782 and 957,699

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Solution

The third proportional to 619,782 and 957,699 is: 1,479,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,782 : 957,699 = 957,699 : x
  2. Step 2: Convert to fraction form
    619,782/957,699 = 957,699/x
  3. Step 3: Cross multiply
    619,782x = 957,699 × 957,699
  4. Step 4: Simplify right side
    619,782x = 917,187,374,601
  5. Step 5: Solve for x
    x = 917,187,374,601/619,782
  6. Step 6: Final answer
    x = 1,479,854.81

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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.