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Finding the Third Proportional to 1,382,503.78 and 2,115,855.42

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Solution

The third proportional to 1,382,503.78 and 2,115,855.42 is: 3,238,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,503.78 : 2,115,855.42 = 2,115,855.42 : x
  2. Step 2: Convert to fraction form
    1,382,503.78/2,115,855.42 = 2,115,855.42/x
  3. Step 3: Cross multiply
    1,382,503.78x = 2,115,855.42 × 2,115,855.42
  4. Step 4: Simplify right side
    1,382,503.78x = 4,476,844,166,277.83
  5. Step 5: Solve for x
    x = 4,476,844,166,277.83/1,382,503.78
  6. Step 6: Final answer
    x = 3,238,214.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.