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Finding the Third Proportional to 1,302,960 and 1,993,189.50

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Solution

The third proportional to 1,302,960 and 1,993,189.50 is: 3,049,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,960 : 1,993,189.50 = 1,993,189.50 : x
  2. Step 2: Convert to fraction form
    1,302,960/1,993,189.50 = 1,993,189.50/x
  3. Step 3: Cross multiply
    1,302,960x = 1,993,189.50 × 1,993,189.50
  4. Step 4: Simplify right side
    1,302,960x = 3,972,804,382,910.25
  5. Step 5: Solve for x
    x = 3,972,804,382,910.25/1,302,960
  6. Step 6: Final answer
    x = 3,049,060.89

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Why These Related Problems?

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