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Finding the Third Proportional to 940,693.50 and 1,419,854.06

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Solution

The third proportional to 940,693.50 and 1,419,854.06 is: 2,143,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,693.50 : 1,419,854.06 = 1,419,854.06 : x
  2. Step 2: Convert to fraction form
    940,693.50/1,419,854.06 = 1,419,854.06/x
  3. Step 3: Cross multiply
    940,693.50x = 1,419,854.06 × 1,419,854.06
  4. Step 4: Simplify right side
    940,693.50x = 2,015,985,558,797.75
  5. Step 5: Solve for x
    x = 2,015,985,558,797.75/940,693.50
  6. Step 6: Final answer
    x = 2,143,084.39

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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.