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Finding the Third Proportional to 591,318 and 1,297,088

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Solution

The third proportional to 591,318 and 1,297,088 is: 2,845,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,318 : 1,297,088 = 1,297,088 : x
  2. Step 2: Convert to fraction form
    591,318/1,297,088 = 1,297,088/x
  3. Step 3: Cross multiply
    591,318x = 1,297,088 × 1,297,088
  4. Step 4: Simplify right side
    591,318x = 1,682,437,279,744
  5. Step 5: Solve for x
    x = 1,682,437,279,744/591,318
  6. Step 6: Final answer
    x = 2,845,232.65

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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.