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Finding the Third Proportional to 764,104 and 1,660,895

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Solution

The third proportional to 764,104 and 1,660,895 is: 3,610,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,104 : 1,660,895 = 1,660,895 : x
  2. Step 2: Convert to fraction form
    764,104/1,660,895 = 1,660,895/x
  3. Step 3: Cross multiply
    764,104x = 1,660,895 × 1,660,895
  4. Step 4: Simplify right side
    764,104x = 2,758,572,201,025
  5. Step 5: Solve for x
    x = 2,758,572,201,025/764,104
  6. Step 6: Final answer
    x = 3,610,205.16

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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.