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Finding the Third Proportional to 892,799 and 1,926,733

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Solution

The third proportional to 892,799 and 1,926,733 is: 4,158,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,799 : 1,926,733 = 1,926,733 : x
  2. Step 2: Convert to fraction form
    892,799/1,926,733 = 1,926,733/x
  3. Step 3: Cross multiply
    892,799x = 1,926,733 × 1,926,733
  4. Step 4: Simplify right side
    892,799x = 3,712,300,053,289
  5. Step 5: Solve for x
    x = 3,712,300,053,289/892,799
  6. Step 6: Final answer
    x = 4,158,046.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.