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Finding the Third Proportional to 665,624 and 1,436,216

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Solution

The third proportional to 665,624 and 1,436,216 is: 3,098,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,624 : 1,436,216 = 1,436,216 : x
  2. Step 2: Convert to fraction form
    665,624/1,436,216 = 1,436,216/x
  3. Step 3: Cross multiply
    665,624x = 1,436,216 × 1,436,216
  4. Step 4: Simplify right side
    665,624x = 2,062,716,398,656
  5. Step 5: Solve for x
    x = 2,062,716,398,656/665,624
  6. Step 6: Final answer
    x = 3,098,921.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.