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Finding the Third Proportional to 383,454 and 836,117.44

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Solution

The third proportional to 383,454 and 836,117.44 is: 1,823,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,454 : 836,117.44 = 836,117.44 : x
  2. Step 2: Convert to fraction form
    383,454/836,117.44 = 836,117.44/x
  3. Step 3: Cross multiply
    383,454x = 836,117.44 × 836,117.44
  4. Step 4: Simplify right side
    383,454x = 699,092,369,291.57
  5. Step 5: Solve for x
    x = 699,092,369,291.57/383,454
  6. Step 6: Final answer
    x = 1,823,145.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.