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Finding the Third Proportional to 415,632 and 901,224

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Solution

The third proportional to 415,632 and 901,224 is: 1,954,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,632 : 901,224 = 901,224 : x
  2. Step 2: Convert to fraction form
    415,632/901,224 = 901,224/x
  3. Step 3: Cross multiply
    415,632x = 901,224 × 901,224
  4. Step 4: Simplify right side
    415,632x = 812,204,698,176
  5. Step 5: Solve for x
    x = 812,204,698,176/415,632
  6. Step 6: Final answer
    x = 1,954,143.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.