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Finding the Third Proportional to 447,518 and 972,950

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Solution

The third proportional to 447,518 and 972,950 is: 2,115,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,518 : 972,950 = 972,950 : x
  2. Step 2: Convert to fraction form
    447,518/972,950 = 972,950/x
  3. Step 3: Cross multiply
    447,518x = 972,950 × 972,950
  4. Step 4: Simplify right side
    447,518x = 946,631,702,500
  5. Step 5: Solve for x
    x = 946,631,702,500/447,518
  6. Step 6: Final answer
    x = 2,115,293.02

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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.