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Finding the Third Proportional to 447,790 and 973,462

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Solution

The third proportional to 447,790 and 973,462 is: 2,116,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,790 : 973,462 = 973,462 : x
  2. Step 2: Convert to fraction form
    447,790/973,462 = 973,462/x
  3. Step 3: Cross multiply
    447,790x = 973,462 × 973,462
  4. Step 4: Simplify right side
    447,790x = 947,628,265,444
  5. Step 5: Solve for x
    x = 947,628,265,444/447,790
  6. Step 6: Final answer
    x = 2,116,233.65

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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.