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Finding the Third Proportional to 736,069.50 and 1,107,794.25

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Solution

The third proportional to 736,069.50 and 1,107,794.25 is: 1,667,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,069.50 : 1,107,794.25 = 1,107,794.25 : x
  2. Step 2: Convert to fraction form
    736,069.50/1,107,794.25 = 1,107,794.25/x
  3. Step 3: Cross multiply
    736,069.50x = 1,107,794.25 × 1,107,794.25
  4. Step 4: Simplify right side
    736,069.50x = 1,227,208,100,333.06
  5. Step 5: Solve for x
    x = 1,227,208,100,333.06/736,069.50
  6. Step 6: Final answer
    x = 1,667,244.87

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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.