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Finding the Third Proportional to 878,436 and 1,284,144

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Solution

The third proportional to 878,436 and 1,284,144 is: 1,877,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,436 : 1,284,144 = 1,284,144 : x
  2. Step 2: Convert to fraction form
    878,436/1,284,144 = 1,284,144/x
  3. Step 3: Cross multiply
    878,436x = 1,284,144 × 1,284,144
  4. Step 4: Simplify right side
    878,436x = 1,649,025,812,736
  5. Step 5: Solve for x
    x = 1,649,025,812,736/878,436
  6. Step 6: Final answer
    x = 1,877,229.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.