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Finding the Third Proportional to 660,030 and 991,500

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Solution

The third proportional to 660,030 and 991,500 is: 1,489,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,030 : 991,500 = 991,500 : x
  2. Step 2: Convert to fraction form
    660,030/991,500 = 991,500/x
  3. Step 3: Cross multiply
    660,030x = 991,500 × 991,500
  4. Step 4: Simplify right side
    660,030x = 983,072,250,000
  5. Step 5: Solve for x
    x = 983,072,250,000/660,030
  6. Step 6: Final answer
    x = 1,489,435.71

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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.