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Finding the Third Proportional to 409,968 and 894,543.75

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Solution

The third proportional to 409,968 and 894,543.75 is: 1,951,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,968 : 894,543.75 = 894,543.75 : x
  2. Step 2: Convert to fraction form
    409,968/894,543.75 = 894,543.75/x
  3. Step 3: Cross multiply
    409,968x = 894,543.75 × 894,543.75
  4. Step 4: Simplify right side
    409,968x = 800,208,520,664.06
  5. Step 5: Solve for x
    x = 800,208,520,664.06/409,968
  6. Step 6: Final answer
    x = 1,951,880.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.