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Finding the Third Proportional to 668,007.56 and 1,007,721.94

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Solution

The third proportional to 668,007.56 and 1,007,721.94 is: 1,520,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,007.56 : 1,007,721.94 = 1,007,721.94 : x
  2. Step 2: Convert to fraction form
    668,007.56/1,007,721.94 = 1,007,721.94/x
  3. Step 3: Cross multiply
    668,007.56x = 1,007,721.94 × 1,007,721.94
  4. Step 4: Simplify right side
    668,007.56x = 1,015,503,503,318.75
  5. Step 5: Solve for x
    x = 1,015,503,503,318.75/668,007.56
  6. Step 6: Final answer
    x = 1,520,197.62

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Why These Related Problems?

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