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Finding the Third Proportional to 1,388,138 and 2,099,715

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Solution

The third proportional to 1,388,138 and 2,099,715 is: 3,176,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,138 : 2,099,715 = 2,099,715 : x
  2. Step 2: Convert to fraction form
    1,388,138/2,099,715 = 2,099,715/x
  3. Step 3: Cross multiply
    1,388,138x = 2,099,715 × 2,099,715
  4. Step 4: Simplify right side
    1,388,138x = 4,408,803,081,225
  5. Step 5: Solve for x
    x = 4,408,803,081,225/1,388,138
  6. Step 6: Final answer
    x = 3,176,055.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.