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Finding the Third Proportional to 913,704 and 1,967,408

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Solution

The third proportional to 913,704 and 1,967,408 is: 4,236,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,704 : 1,967,408 = 1,967,408 : x
  2. Step 2: Convert to fraction form
    913,704/1,967,408 = 1,967,408/x
  3. Step 3: Cross multiply
    913,704x = 1,967,408 × 1,967,408
  4. Step 4: Simplify right side
    913,704x = 3,870,694,238,464
  5. Step 5: Solve for x
    x = 3,870,694,238,464/913,704
  6. Step 6: Final answer
    x = 4,236,267.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.