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Finding the Third Proportional to 3,634,768 and 5,702,380

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Solution

The third proportional to 3,634,768 and 5,702,380 is: 8,946,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,768 : 5,702,380 = 5,702,380 : x
  2. Step 2: Convert to fraction form
    3,634,768/5,702,380 = 5,702,380/x
  3. Step 3: Cross multiply
    3,634,768x = 5,702,380 × 5,702,380
  4. Step 4: Simplify right side
    3,634,768x = 32,517,137,664,400
  5. Step 5: Solve for x
    x = 32,517,137,664,400/3,634,768
  6. Step 6: Final answer
    x = 8,946,138.42

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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.