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Finding the Third Proportional to 417,144 and 917,232

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Solution

The third proportional to 417,144 and 917,232 is: 2,016,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,144 : 917,232 = 917,232 : x
  2. Step 2: Convert to fraction form
    417,144/917,232 = 917,232/x
  3. Step 3: Cross multiply
    417,144x = 917,232 × 917,232
  4. Step 4: Simplify right side
    417,144x = 841,314,541,824
  5. Step 5: Solve for x
    x = 841,314,541,824/417,144
  6. Step 6: Final answer
    x = 2,016,844.40

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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.