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Finding the Third Proportional to 1,617,071.34 and 3,562,255.97

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Solution

The third proportional to 1,617,071.34 and 3,562,255.97 is: 7,847,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,071.34 : 3,562,255.97 = 3,562,255.97 : x
  2. Step 2: Convert to fraction form
    1,617,071.34/3,562,255.97 = 3,562,255.97/x
  3. Step 3: Cross multiply
    1,617,071.34x = 3,562,255.97 × 3,562,255.97
  4. Step 4: Simplify right side
    1,617,071.34x = 12,689,667,586,895
  5. Step 5: Solve for x
    x = 12,689,667,586,895/1,617,071.34
  6. Step 6: Final answer
    x = 7,847,314.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.