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Finding the Third Proportional to 656,055 and 980,667

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Solution

The third proportional to 656,055 and 980,667 is: 1,465,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,055 : 980,667 = 980,667 : x
  2. Step 2: Convert to fraction form
    656,055/980,667 = 980,667/x
  3. Step 3: Cross multiply
    656,055x = 980,667 × 980,667
  4. Step 4: Simplify right side
    656,055x = 961,707,764,889
  5. Step 5: Solve for x
    x = 961,707,764,889/656,055
  6. Step 6: Final answer
    x = 1,465,895.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.