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Finding the Third Proportional to 693,216 and 927,228

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Solution

The third proportional to 693,216 and 927,228 is: 1,240,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,216 : 927,228 = 927,228 : x
  2. Step 2: Convert to fraction form
    693,216/927,228 = 927,228/x
  3. Step 3: Cross multiply
    693,216x = 927,228 × 927,228
  4. Step 4: Simplify right side
    693,216x = 859,751,763,984
  5. Step 5: Solve for x
    x = 859,751,763,984/693,216
  6. Step 6: Final answer
    x = 1,240,236.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.