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Finding the Third Proportional to 1,934,408.25 and 4,204,653

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Solution

The third proportional to 1,934,408.25 and 4,204,653 is: 9,139,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934,408.25 : 4,204,653 = 4,204,653 : x
  2. Step 2: Convert to fraction form
    1,934,408.25/4,204,653 = 4,204,653/x
  3. Step 3: Cross multiply
    1,934,408.25x = 4,204,653 × 4,204,653
  4. Step 4: Simplify right side
    1,934,408.25x = 17,679,106,850,409
  5. Step 5: Solve for x
    x = 17,679,106,850,409/1,934,408.25
  6. Step 6: Final answer
    x = 9,139,284.25

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Why These Related Problems?

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