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Finding the Third Proportional to 475,801 and 1,046,232

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Solution

The third proportional to 475,801 and 1,046,232 is: 2,300,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,801 : 1,046,232 = 1,046,232 : x
  2. Step 2: Convert to fraction form
    475,801/1,046,232 = 1,046,232/x
  3. Step 3: Cross multiply
    475,801x = 1,046,232 × 1,046,232
  4. Step 4: Simplify right side
    475,801x = 1,094,601,397,824
  5. Step 5: Solve for x
    x = 1,094,601,397,824/475,801
  6. Step 6: Final answer
    x = 2,300,544.55

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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.