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Finding the Third Proportional to 532,138.50 and 1,143,009

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Solution

The third proportional to 532,138.50 and 1,143,009 is: 2,455,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,138.50 : 1,143,009 = 1,143,009 : x
  2. Step 2: Convert to fraction form
    532,138.50/1,143,009 = 1,143,009/x
  3. Step 3: Cross multiply
    532,138.50x = 1,143,009 × 1,143,009
  4. Step 4: Simplify right side
    532,138.50x = 1,306,469,574,081
  5. Step 5: Solve for x
    x = 1,306,469,574,081/532,138.50
  6. Step 6: Final answer
    x = 2,455,130.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.