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Finding the Third Proportional to 661,932 and 992,009.53

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Solution

The third proportional to 661,932 and 992,009.53 is: 1,486,682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,932 : 992,009.53 = 992,009.53 : x
  2. Step 2: Convert to fraction form
    661,932/992,009.53 = 992,009.53/x
  3. Step 3: Cross multiply
    661,932x = 992,009.53 × 992,009.53
  4. Step 4: Simplify right side
    661,932x = 984,082,910,090.85
  5. Step 5: Solve for x
    x = 984,082,910,090.85/661,932
  6. Step 6: Final answer
    x = 1,486,682.79

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