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Finding the Third Proportional to 646,675 and 978,965

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Solution

The third proportional to 646,675 and 978,965 is: 1,482,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,675 : 978,965 = 978,965 : x
  2. Step 2: Convert to fraction form
    646,675/978,965 = 978,965/x
  3. Step 3: Cross multiply
    646,675x = 978,965 × 978,965
  4. Step 4: Simplify right side
    646,675x = 958,372,471,225
  5. Step 5: Solve for x
    x = 958,372,471,225/646,675
  6. Step 6: Final answer
    x = 1,482,000.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.