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Finding the Third Proportional to 2,295,684 and 3,431,529

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Solution

The third proportional to 2,295,684 and 3,431,529 is: 5,129,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,684 : 3,431,529 = 3,431,529 : x
  2. Step 2: Convert to fraction form
    2,295,684/3,431,529 = 3,431,529/x
  3. Step 3: Cross multiply
    2,295,684x = 3,431,529 × 3,431,529
  4. Step 4: Simplify right side
    2,295,684x = 11,775,391,277,841
  5. Step 5: Solve for x
    x = 11,775,391,277,841/2,295,684
  6. Step 6: Final answer
    x = 5,129,360.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.