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Finding the Third Proportional to 385,836 and 836,064

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Solution

The third proportional to 385,836 and 836,064 is: 1,811,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,836 : 836,064 = 836,064 : x
  2. Step 2: Convert to fraction form
    385,836/836,064 = 836,064/x
  3. Step 3: Cross multiply
    385,836x = 836,064 × 836,064
  4. Step 4: Simplify right side
    385,836x = 699,003,012,096
  5. Step 5: Solve for x
    x = 699,003,012,096/385,836
  6. Step 6: Final answer
    x = 1,811,658.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.