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Finding the Third Proportional to 701,400 and 1,084,836

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Solution

The third proportional to 701,400 and 1,084,836 is: 1,677,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,400 : 1,084,836 = 1,084,836 : x
  2. Step 2: Convert to fraction form
    701,400/1,084,836 = 1,084,836/x
  3. Step 3: Cross multiply
    701,400x = 1,084,836 × 1,084,836
  4. Step 4: Simplify right side
    701,400x = 1,176,869,146,896
  5. Step 5: Solve for x
    x = 1,176,869,146,896/701,400
  6. Step 6: Final answer
    x = 1,677,885.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.