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Finding the Third Proportional to 591,606 and 1,295,166

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Solution

The third proportional to 591,606 and 1,295,166 is: 2,835,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,606 : 1,295,166 = 1,295,166 : x
  2. Step 2: Convert to fraction form
    591,606/1,295,166 = 1,295,166/x
  3. Step 3: Cross multiply
    591,606x = 1,295,166 × 1,295,166
  4. Step 4: Simplify right side
    591,606x = 1,677,454,967,556
  5. Step 5: Solve for x
    x = 1,677,454,967,556/591,606
  6. Step 6: Final answer
    x = 2,835,425.89

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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.