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Finding the Third Proportional to 3,677,740 and 5,709,068

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Solution

The third proportional to 3,677,740 and 5,709,068 is: 8,862,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,740 : 5,709,068 = 5,709,068 : x
  2. Step 2: Convert to fraction form
    3,677,740/5,709,068 = 5,709,068/x
  3. Step 3: Cross multiply
    3,677,740x = 5,709,068 × 5,709,068
  4. Step 4: Simplify right side
    3,677,740x = 32,593,457,428,624
  5. Step 5: Solve for x
    x = 32,593,457,428,624/3,677,740
  6. Step 6: Final answer
    x = 8,862,360.42

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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.