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Finding the Third Proportional to 633,240 and 933,116

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Solution

The third proportional to 633,240 and 933,116 is: 1,375,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,240 : 933,116 = 933,116 : x
  2. Step 2: Convert to fraction form
    633,240/933,116 = 933,116/x
  3. Step 3: Cross multiply
    633,240x = 933,116 × 933,116
  4. Step 4: Simplify right side
    633,240x = 870,705,469,456
  5. Step 5: Solve for x
    x = 870,705,469,456/633,240
  6. Step 6: Final answer
    x = 1,375,000.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.