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Finding the Third Proportional to 2,389,188 and 3,699,342

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Solution

The third proportional to 2,389,188 and 3,699,342 is: 5,727,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,188 : 3,699,342 = 3,699,342 : x
  2. Step 2: Convert to fraction form
    2,389,188/3,699,342 = 3,699,342/x
  3. Step 3: Cross multiply
    2,389,188x = 3,699,342 × 3,699,342
  4. Step 4: Simplify right side
    2,389,188x = 13,685,131,232,964
  5. Step 5: Solve for x
    x = 13,685,131,232,964/2,389,188
  6. Step 6: Final answer
    x = 5,727,942.39

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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.