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Finding the Third Proportional to 415,636 and 901,232

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Solution

The third proportional to 415,636 and 901,232 is: 1,954,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,636 : 901,232 = 901,232 : x
  2. Step 2: Convert to fraction form
    415,636/901,232 = 901,232/x
  3. Step 3: Cross multiply
    415,636x = 901,232 × 901,232
  4. Step 4: Simplify right side
    415,636x = 812,219,117,824
  5. Step 5: Solve for x
    x = 812,219,117,824/415,636
  6. Step 6: Final answer
    x = 1,954,159.69

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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.