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Finding the Third Proportional to 1,213,423.03 and 2,633,104.97

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Solution

The third proportional to 1,213,423.03 and 2,633,104.97 is: 5,713,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,423.03 : 2,633,104.97 = 2,633,104.97 : x
  2. Step 2: Convert to fraction form
    1,213,423.03/2,633,104.97 = 2,633,104.97/x
  3. Step 3: Cross multiply
    1,213,423.03x = 2,633,104.97 × 2,633,104.97
  4. Step 4: Simplify right side
    1,213,423.03x = 6,933,241,776,455.94
  5. Step 5: Solve for x
    x = 6,933,241,776,455.94/1,213,423.03
  6. Step 6: Final answer
    x = 5,713,787.85

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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.