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Finding the Third Proportional to 447,033 and 969,754.50

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Solution

The third proportional to 447,033 and 969,754.50 is: 2,103,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,033 : 969,754.50 = 969,754.50 : x
  2. Step 2: Convert to fraction form
    447,033/969,754.50 = 969,754.50/x
  3. Step 3: Cross multiply
    447,033x = 969,754.50 × 969,754.50
  4. Step 4: Simplify right side
    447,033x = 940,423,790,270.25
  5. Step 5: Solve for x
    x = 940,423,790,270.25/447,033
  6. Step 6: Final answer
    x = 2,103,701.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.