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Finding the Third Proportional to 957,709.50 and 1,428,258.75

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Solution

The third proportional to 957,709.50 and 1,428,258.75 is: 2,130,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,709.50 : 1,428,258.75 = 1,428,258.75 : x
  2. Step 2: Convert to fraction form
    957,709.50/1,428,258.75 = 1,428,258.75/x
  3. Step 3: Cross multiply
    957,709.50x = 1,428,258.75 × 1,428,258.75
  4. Step 4: Simplify right side
    957,709.50x = 2,039,923,056,951.56
  5. Step 5: Solve for x
    x = 2,039,923,056,951.56/957,709.50
  6. Step 6: Final answer
    x = 2,130,001.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.