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Finding the Third Proportional to 408,064 and 894,840

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Solution

The third proportional to 408,064 and 894,840 is: 1,962,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064 : 894,840 = 894,840 : x
  2. Step 2: Convert to fraction form
    408,064/894,840 = 894,840/x
  3. Step 3: Cross multiply
    408,064x = 894,840 × 894,840
  4. Step 4: Simplify right side
    408,064x = 800,738,625,600
  5. Step 5: Solve for x
    x = 800,738,625,600/408,064
  6. Step 6: Final answer
    x = 1,962,286.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.