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Finding the Third Proportional to 957,784.75 and 1,434,037.88

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Solution

The third proportional to 957,784.75 and 1,434,037.88 is: 2,147,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,784.75 : 1,434,037.88 = 1,434,037.88 : x
  2. Step 2: Convert to fraction form
    957,784.75/1,434,037.88 = 1,434,037.88/x
  3. Step 3: Cross multiply
    957,784.75x = 1,434,037.88 × 1,434,037.88
  4. Step 4: Simplify right side
    957,784.75x = 2,056,464,626,934.52
  5. Step 5: Solve for x
    x = 2,056,464,626,934.52/957,784.75
  6. Step 6: Final answer
    x = 2,147,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.