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Finding the Third Proportional to 591,559 and 965,861

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Solution

The third proportional to 591,559 and 965,861 is: 1,576,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,559 : 965,861 = 965,861 : x
  2. Step 2: Convert to fraction form
    591,559/965,861 = 965,861/x
  3. Step 3: Cross multiply
    591,559x = 965,861 × 965,861
  4. Step 4: Simplify right side
    591,559x = 932,887,471,321
  5. Step 5: Solve for x
    x = 932,887,471,321/591,559
  6. Step 6: Final answer
    x = 1,576,998.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.