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Finding the Third Proportional to 591,612 and 1,295,171

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Solution

The third proportional to 591,612 and 1,295,171 is: 2,835,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,612 : 1,295,171 = 1,295,171 : x
  2. Step 2: Convert to fraction form
    591,612/1,295,171 = 1,295,171/x
  3. Step 3: Cross multiply
    591,612x = 1,295,171 × 1,295,171
  4. Step 4: Simplify right side
    591,612x = 1,677,467,919,241
  5. Step 5: Solve for x
    x = 1,677,467,919,241/591,612
  6. Step 6: Final answer
    x = 2,835,419.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.