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Finding the Third Proportional to 447,522 and 972,958

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Solution

The third proportional to 447,522 and 972,958 is: 2,115,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,522 : 972,958 = 972,958 : x
  2. Step 2: Convert to fraction form
    447,522/972,958 = 972,958/x
  3. Step 3: Cross multiply
    447,522x = 972,958 × 972,958
  4. Step 4: Simplify right side
    447,522x = 946,647,269,764
  5. Step 5: Solve for x
    x = 946,647,269,764/447,522
  6. Step 6: Final answer
    x = 2,115,308.90

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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.