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Finding the Third Proportional to 2,389,176 and 3,699,324

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Solution

The third proportional to 2,389,176 and 3,699,324 is: 5,727,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,176 : 3,699,324 = 3,699,324 : x
  2. Step 2: Convert to fraction form
    2,389,176/3,699,324 = 3,699,324/x
  3. Step 3: Cross multiply
    2,389,176x = 3,699,324 × 3,699,324
  4. Step 4: Simplify right side
    2,389,176x = 13,684,998,056,976
  5. Step 5: Solve for x
    x = 13,684,998,056,976/2,389,176
  6. Step 6: Final answer
    x = 5,727,915.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.