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Finding the Third Proportional to 425,149 and 933,232

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Solution

The third proportional to 425,149 and 933,232 is: 2,048,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,149 : 933,232 = 933,232 : x
  2. Step 2: Convert to fraction form
    425,149/933,232 = 933,232/x
  3. Step 3: Cross multiply
    425,149x = 933,232 × 933,232
  4. Step 4: Simplify right side
    425,149x = 870,921,965,824
  5. Step 5: Solve for x
    x = 870,921,965,824/425,149
  6. Step 6: Final answer
    x = 2,048,509.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.