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Finding the Third Proportional to 383,964 and 834,939

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Solution

The third proportional to 383,964 and 834,939 is: 1,815,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,964 : 834,939 = 834,939 : x
  2. Step 2: Convert to fraction form
    383,964/834,939 = 834,939/x
  3. Step 3: Cross multiply
    383,964x = 834,939 × 834,939
  4. Step 4: Simplify right side
    383,964x = 697,123,133,721
  5. Step 5: Solve for x
    x = 697,123,133,721/383,964
  6. Step 6: Final answer
    x = 1,815,595.04

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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.