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Finding the Third Proportional to 421,168 and 900,224

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Solution

The third proportional to 421,168 and 900,224 is: 1,924,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,168 : 900,224 = 900,224 : x
  2. Step 2: Convert to fraction form
    421,168/900,224 = 900,224/x
  3. Step 3: Cross multiply
    421,168x = 900,224 × 900,224
  4. Step 4: Simplify right side
    421,168x = 810,403,250,176
  5. Step 5: Solve for x
    x = 810,403,250,176/421,168
  6. Step 6: Final answer
    x = 1,924,180.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.