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Finding the Third Proportional to 668,844 and 1,428,408

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Solution

The third proportional to 668,844 and 1,428,408 is: 3,050,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,844 : 1,428,408 = 1,428,408 : x
  2. Step 2: Convert to fraction form
    668,844/1,428,408 = 1,428,408/x
  3. Step 3: Cross multiply
    668,844x = 1,428,408 × 1,428,408
  4. Step 4: Simplify right side
    668,844x = 2,040,349,414,464
  5. Step 5: Solve for x
    x = 2,040,349,414,464/668,844
  6. Step 6: Final answer
    x = 3,050,560.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.