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Finding the Third Proportional to 986,436.04 and 2,304,759.76

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Solution

The third proportional to 986,436.04 and 2,304,759.76 is: 5,384,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,436.04 : 2,304,759.76 = 2,304,759.76 : x
  2. Step 2: Convert to fraction form
    986,436.04/2,304,759.76 = 2,304,759.76/x
  3. Step 3: Cross multiply
    986,436.04x = 2,304,759.76 × 2,304,759.76
  4. Step 4: Simplify right side
    986,436.04x = 5,311,917,559,238.10
  5. Step 5: Solve for x
    x = 5,311,917,559,238.10/986,436.04
  6. Step 6: Final answer
    x = 5,384,958.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.