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Finding the Third Proportional to 913,097.81 and 1,419,381.56

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Solution

The third proportional to 913,097.81 and 1,419,381.56 is: 2,206,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,097.81 : 1,419,381.56 = 1,419,381.56 : x
  2. Step 2: Convert to fraction form
    913,097.81/1,419,381.56 = 1,419,381.56/x
  3. Step 3: Cross multiply
    913,097.81x = 1,419,381.56 × 1,419,381.56
  4. Step 4: Simplify right side
    913,097.81x = 2,014,644,019,964.94
  5. Step 5: Solve for x
    x = 2,014,644,019,964.94/913,097.81
  6. Step 6: Final answer
    x = 2,206,383.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.