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Finding the Third Proportional to 853,248 and 1,297,152

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Solution

The third proportional to 853,248 and 1,297,152 is: 1,971,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,248 : 1,297,152 = 1,297,152 : x
  2. Step 2: Convert to fraction form
    853,248/1,297,152 = 1,297,152/x
  3. Step 3: Cross multiply
    853,248x = 1,297,152 × 1,297,152
  4. Step 4: Simplify right side
    853,248x = 1,682,603,311,104
  5. Step 5: Solve for x
    x = 1,682,603,311,104/853,248
  6. Step 6: Final answer
    x = 1,971,997.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.