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Finding the Third Proportional to 810,504 and 1,876,329

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Solution

The third proportional to 810,504 and 1,876,329 is: 4,343,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,504 : 1,876,329 = 1,876,329 : x
  2. Step 2: Convert to fraction form
    810,504/1,876,329 = 1,876,329/x
  3. Step 3: Cross multiply
    810,504x = 1,876,329 × 1,876,329
  4. Step 4: Simplify right side
    810,504x = 3,520,610,516,241
  5. Step 5: Solve for x
    x = 3,520,610,516,241/810,504
  6. Step 6: Final answer
    x = 4,343,729.97

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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.