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Finding the Third Proportional to 580,026 and 816,818

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Solution

The third proportional to 580,026 and 816,818 is: 1,150,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,026 : 816,818 = 816,818 : x
  2. Step 2: Convert to fraction form
    580,026/816,818 = 816,818/x
  3. Step 3: Cross multiply
    580,026x = 816,818 × 816,818
  4. Step 4: Simplify right side
    580,026x = 667,191,645,124
  5. Step 5: Solve for x
    x = 667,191,645,124/580,026
  6. Step 6: Final answer
    x = 1,150,278.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.