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Finding the Third Proportional to 853,286 and 1,833,200

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Solution

The third proportional to 853,286 and 1,833,200 is: 3,938,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,286 : 1,833,200 = 1,833,200 : x
  2. Step 2: Convert to fraction form
    853,286/1,833,200 = 1,833,200/x
  3. Step 3: Cross multiply
    853,286x = 1,833,200 × 1,833,200
  4. Step 4: Simplify right side
    853,286x = 3,360,622,240,000
  5. Step 5: Solve for x
    x = 3,360,622,240,000/853,286
  6. Step 6: Final answer
    x = 3,938,447.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.