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Finding the Third Proportional to 3,634,782 and 5,702,400

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Solution

The third proportional to 3,634,782 and 5,702,400 is: 8,946,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,782 : 5,702,400 = 5,702,400 : x
  2. Step 2: Convert to fraction form
    3,634,782/5,702,400 = 5,702,400/x
  3. Step 3: Cross multiply
    3,634,782x = 5,702,400 × 5,702,400
  4. Step 4: Simplify right side
    3,634,782x = 32,517,365,760,000
  5. Step 5: Solve for x
    x = 32,517,365,760,000/3,634,782
  6. Step 6: Final answer
    x = 8,946,166.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.