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Finding the Third Proportional to 905,726 and 1,850,778

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Solution

The third proportional to 905,726 and 1,850,778 is: 3,781,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,726 : 1,850,778 = 1,850,778 : x
  2. Step 2: Convert to fraction form
    905,726/1,850,778 = 1,850,778/x
  3. Step 3: Cross multiply
    905,726x = 1,850,778 × 1,850,778
  4. Step 4: Simplify right side
    905,726x = 3,425,379,205,284
  5. Step 5: Solve for x
    x = 3,425,379,205,284/905,726
  6. Step 6: Final answer
    x = 3,781,915.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.