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Finding the Third Proportional to 800,502 and 1,733,844

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Solution

The third proportional to 800,502 and 1,733,844 is: 3,755,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,502 : 1,733,844 = 1,733,844 : x
  2. Step 2: Convert to fraction form
    800,502/1,733,844 = 1,733,844/x
  3. Step 3: Cross multiply
    800,502x = 1,733,844 × 1,733,844
  4. Step 4: Simplify right side
    800,502x = 3,006,215,016,336
  5. Step 5: Solve for x
    x = 3,006,215,016,336/800,502
  6. Step 6: Final answer
    x = 3,755,412.25

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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.