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Finding the Third Proportional to 1,865,199 and 4,085,511

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Solution

The third proportional to 1,865,199 and 4,085,511 is: 8,948,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,199 : 4,085,511 = 4,085,511 : x
  2. Step 2: Convert to fraction form
    1,865,199/4,085,511 = 4,085,511/x
  3. Step 3: Cross multiply
    1,865,199x = 4,085,511 × 4,085,511
  4. Step 4: Simplify right side
    1,865,199x = 16,691,400,131,121
  5. Step 5: Solve for x
    x = 16,691,400,131,121/1,865,199
  6. Step 6: Final answer
    x = 8,948,857.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.