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Finding the Third Proportional to 650,706 and 1,410,012

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Solution

The third proportional to 650,706 and 1,410,012 is: 3,055,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,706 : 1,410,012 = 1,410,012 : x
  2. Step 2: Convert to fraction form
    650,706/1,410,012 = 1,410,012/x
  3. Step 3: Cross multiply
    650,706x = 1,410,012 × 1,410,012
  4. Step 4: Simplify right side
    650,706x = 1,988,133,840,144
  5. Step 5: Solve for x
    x = 1,988,133,840,144/650,706
  6. Step 6: Final answer
    x = 3,055,348.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.