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Finding the Third Proportional to 3,677,734 and 5,709,058

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Solution

The third proportional to 3,677,734 and 5,709,058 is: 8,862,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,734 : 5,709,058 = 5,709,058 : x
  2. Step 2: Convert to fraction form
    3,677,734/5,709,058 = 5,709,058/x
  3. Step 3: Cross multiply
    3,677,734x = 5,709,058 × 5,709,058
  4. Step 4: Simplify right side
    3,677,734x = 32,593,343,247,364
  5. Step 5: Solve for x
    x = 32,593,343,247,364/3,677,734
  6. Step 6: Final answer
    x = 8,862,343.84

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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.