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Finding the Third Proportional to 646,666 and 978,942

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Solution

The third proportional to 646,666 and 978,942 is: 1,481,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,666 : 978,942 = 978,942 : x
  2. Step 2: Convert to fraction form
    646,666/978,942 = 978,942/x
  3. Step 3: Cross multiply
    646,666x = 978,942 × 978,942
  4. Step 4: Simplify right side
    646,666x = 958,327,439,364
  5. Step 5: Solve for x
    x = 958,327,439,364/646,666
  6. Step 6: Final answer
    x = 1,481,951.18

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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.