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Finding the Third Proportional to 373,862 and 810,823

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Solution

The third proportional to 373,862 and 810,823 is: 1,758,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,862 : 810,823 = 810,823 : x
  2. Step 2: Convert to fraction form
    373,862/810,823 = 810,823/x
  3. Step 3: Cross multiply
    373,862x = 810,823 × 810,823
  4. Step 4: Simplify right side
    373,862x = 657,433,937,329
  5. Step 5: Solve for x
    x = 657,433,937,329/373,862
  6. Step 6: Final answer
    x = 1,758,493.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.