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Finding the Third Proportional to 836,450 and 1,262,467

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Solution

The third proportional to 836,450 and 1,262,467 is: 1,905,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,450 : 1,262,467 = 1,262,467 : x
  2. Step 2: Convert to fraction form
    836,450/1,262,467 = 1,262,467/x
  3. Step 3: Cross multiply
    836,450x = 1,262,467 × 1,262,467
  4. Step 4: Simplify right side
    836,450x = 1,593,822,926,089
  5. Step 5: Solve for x
    x = 1,593,822,926,089/836,450
  6. Step 6: Final answer
    x = 1,905,461.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.