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Finding the Third Proportional to 468,092 and 1,007,288

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Solution

The third proportional to 468,092 and 1,007,288 is: 2,167,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,092 : 1,007,288 = 1,007,288 : x
  2. Step 2: Convert to fraction form
    468,092/1,007,288 = 1,007,288/x
  3. Step 3: Cross multiply
    468,092x = 1,007,288 × 1,007,288
  4. Step 4: Simplify right side
    468,092x = 1,014,629,114,944
  5. Step 5: Solve for x
    x = 1,014,629,114,944/468,092
  6. Step 6: Final answer
    x = 2,167,584.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.