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Finding the Third Proportional to 2,286,785 and 4,515,736

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Solution

The third proportional to 2,286,785 and 4,515,736 is: 8,917,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,785 : 4,515,736 = 4,515,736 : x
  2. Step 2: Convert to fraction form
    2,286,785/4,515,736 = 4,515,736/x
  3. Step 3: Cross multiply
    2,286,785x = 4,515,736 × 4,515,736
  4. Step 4: Simplify right side
    2,286,785x = 20,391,871,621,696
  5. Step 5: Solve for x
    x = 20,391,871,621,696/2,286,785
  6. Step 6: Final answer
    x = 8,917,266.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.