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Finding the Third Proportional to 659,922 and 1,438,320

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Solution

The third proportional to 659,922 and 1,438,320 is: 3,134,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,922 : 1,438,320 = 1,438,320 : x
  2. Step 2: Convert to fraction form
    659,922/1,438,320 = 1,438,320/x
  3. Step 3: Cross multiply
    659,922x = 1,438,320 × 1,438,320
  4. Step 4: Simplify right side
    659,922x = 2,068,764,422,400
  5. Step 5: Solve for x
    x = 2,068,764,422,400/659,922
  6. Step 6: Final answer
    x = 3,134,862.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.