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Finding the Third Proportional to 764,120 and 1,660,927

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Solution

The third proportional to 764,120 and 1,660,927 is: 3,610,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,120 : 1,660,927 = 1,660,927 : x
  2. Step 2: Convert to fraction form
    764,120/1,660,927 = 1,660,927/x
  3. Step 3: Cross multiply
    764,120x = 1,660,927 × 1,660,927
  4. Step 4: Simplify right side
    764,120x = 2,758,678,499,329
  5. Step 5: Solve for x
    x = 2,758,678,499,329/764,120
  6. Step 6: Final answer
    x = 3,610,268.67

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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.