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Finding the Third Proportional to 867,968 and 1,314,192

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Solution

The third proportional to 867,968 and 1,314,192 is: 1,989,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,968 : 1,314,192 = 1,314,192 : x
  2. Step 2: Convert to fraction form
    867,968/1,314,192 = 1,314,192/x
  3. Step 3: Cross multiply
    867,968x = 1,314,192 × 1,314,192
  4. Step 4: Simplify right side
    867,968x = 1,727,100,612,864
  5. Step 5: Solve for x
    x = 1,727,100,612,864/867,968
  6. Step 6: Final answer
    x = 1,989,820.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.