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Finding the Third Proportional to 469,077 and 914,823

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Solution

The third proportional to 469,077 and 914,823 is: 1,784,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,077 : 914,823 = 914,823 : x
  2. Step 2: Convert to fraction form
    469,077/914,823 = 914,823/x
  3. Step 3: Cross multiply
    469,077x = 914,823 × 914,823
  4. Step 4: Simplify right side
    469,077x = 836,901,121,329
  5. Step 5: Solve for x
    x = 836,901,121,329/469,077
  6. Step 6: Final answer
    x = 1,784,144.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.