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Finding the Third Proportional to 447,001 and 973,796

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Solution

The third proportional to 447,001 and 973,796 is: 2,121,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,001 : 973,796 = 973,796 : x
  2. Step 2: Convert to fraction form
    447,001/973,796 = 973,796/x
  3. Step 3: Cross multiply
    447,001x = 973,796 × 973,796
  4. Step 4: Simplify right side
    447,001x = 948,278,649,616
  5. Step 5: Solve for x
    x = 948,278,649,616/447,001
  6. Step 6: Final answer
    x = 2,121,424.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.