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Finding the Third Proportional to 810,756 and 1,876,950

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Solution

The third proportional to 810,756 and 1,876,950 is: 4,345,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,756 : 1,876,950 = 1,876,950 : x
  2. Step 2: Convert to fraction form
    810,756/1,876,950 = 1,876,950/x
  3. Step 3: Cross multiply
    810,756x = 1,876,950 × 1,876,950
  4. Step 4: Simplify right side
    810,756x = 3,522,941,302,500
  5. Step 5: Solve for x
    x = 3,522,941,302,500/810,756
  6. Step 6: Final answer
    x = 4,345,254.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.