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Finding the Third Proportional to 759,789.56 and 1,203,107.34

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Solution

The third proportional to 759,789.56 and 1,203,107.34 is: 1,905,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,789.56 : 1,203,107.34 = 1,203,107.34 : x
  2. Step 2: Convert to fraction form
    759,789.56/1,203,107.34 = 1,203,107.34/x
  3. Step 3: Cross multiply
    759,789.56x = 1,203,107.34 × 1,203,107.34
  4. Step 4: Simplify right side
    759,789.56x = 1,447,467,280,585.18
  5. Step 5: Solve for x
    x = 1,447,467,280,585.18/759,789.56
  6. Step 6: Final answer
    x = 1,905,089.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.