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Finding the Third Proportional to 1,305,184.50 and 2,803,167

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Solution

The third proportional to 1,305,184.50 and 2,803,167 is: 6,020,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,184.50 : 2,803,167 = 2,803,167 : x
  2. Step 2: Convert to fraction form
    1,305,184.50/2,803,167 = 2,803,167/x
  3. Step 3: Cross multiply
    1,305,184.50x = 2,803,167 × 2,803,167
  4. Step 4: Simplify right side
    1,305,184.50x = 7,857,745,229,889
  5. Step 5: Solve for x
    x = 7,857,745,229,889/1,305,184.50
  6. Step 6: Final answer
    x = 6,020,409.55

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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.