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Finding the Third Proportional to 867,936 and 1,314,144

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Solution

The third proportional to 867,936 and 1,314,144 is: 1,989,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,936 : 1,314,144 = 1,314,144 : x
  2. Step 2: Convert to fraction form
    867,936/1,314,144 = 1,314,144/x
  3. Step 3: Cross multiply
    867,936x = 1,314,144 × 1,314,144
  4. Step 4: Simplify right side
    867,936x = 1,726,974,452,736
  5. Step 5: Solve for x
    x = 1,726,974,452,736/867,936
  6. Step 6: Final answer
    x = 1,989,748.61

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