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Finding the Third Proportional to 656,177 and 1,364,732

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Solution

The third proportional to 656,177 and 1,364,732 is: 2,838,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,177 : 1,364,732 = 1,364,732 : x
  2. Step 2: Convert to fraction form
    656,177/1,364,732 = 1,364,732/x
  3. Step 3: Cross multiply
    656,177x = 1,364,732 × 1,364,732
  4. Step 4: Simplify right side
    656,177x = 1,862,493,431,824
  5. Step 5: Solve for x
    x = 1,862,493,431,824/656,177
  6. Step 6: Final answer
    x = 2,838,400.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.