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Finding the Third Proportional to 972,333 and 1,471,914

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Solution

The third proportional to 972,333 and 1,471,914 is: 2,228,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,333 : 1,471,914 = 1,471,914 : x
  2. Step 2: Convert to fraction form
    972,333/1,471,914 = 1,471,914/x
  3. Step 3: Cross multiply
    972,333x = 1,471,914 × 1,471,914
  4. Step 4: Simplify right side
    972,333x = 2,166,530,823,396
  5. Step 5: Solve for x
    x = 2,166,530,823,396/972,333
  6. Step 6: Final answer
    x = 2,228,177.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.