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Finding the Third Proportional to 1,765,809 and 3,811,392

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Solution

The third proportional to 1,765,809 and 3,811,392 is: 8,226,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,809 : 3,811,392 = 3,811,392 : x
  2. Step 2: Convert to fraction form
    1,765,809/3,811,392 = 3,811,392/x
  3. Step 3: Cross multiply
    1,765,809x = 3,811,392 × 3,811,392
  4. Step 4: Simplify right side
    1,765,809x = 14,526,708,977,664
  5. Step 5: Solve for x
    x = 14,526,708,977,664/1,765,809
  6. Step 6: Final answer
    x = 8,226,659.27

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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.