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Finding the Third Proportional to 764,690 and 1,147,322

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Solution

The third proportional to 764,690 and 1,147,322 is: 1,721,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,690 : 1,147,322 = 1,147,322 : x
  2. Step 2: Convert to fraction form
    764,690/1,147,322 = 1,147,322/x
  3. Step 3: Cross multiply
    764,690x = 1,147,322 × 1,147,322
  4. Step 4: Simplify right side
    764,690x = 1,316,347,771,684
  5. Step 5: Solve for x
    x = 1,316,347,771,684/764,690
  6. Step 6: Final answer
    x = 1,721,413.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.