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Finding the Third Proportional to 811,765 and 1,761,857

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Solution

The third proportional to 811,765 and 1,761,857 is: 3,823,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,765 : 1,761,857 = 1,761,857 : x
  2. Step 2: Convert to fraction form
    811,765/1,761,857 = 1,761,857/x
  3. Step 3: Cross multiply
    811,765x = 1,761,857 × 1,761,857
  4. Step 4: Simplify right side
    811,765x = 3,104,140,088,449
  5. Step 5: Solve for x
    x = 3,104,140,088,449/811,765
  6. Step 6: Final answer
    x = 3,823,939.30

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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.