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Finding the Third Proportional to 1,289,156 and 2,684,172

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Solution

The third proportional to 1,289,156 and 2,684,172 is: 5,588,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,156 : 2,684,172 = 2,684,172 : x
  2. Step 2: Convert to fraction form
    1,289,156/2,684,172 = 2,684,172/x
  3. Step 3: Cross multiply
    1,289,156x = 2,684,172 × 2,684,172
  4. Step 4: Simplify right side
    1,289,156x = 7,204,779,325,584
  5. Step 5: Solve for x
    x = 7,204,779,325,584/1,289,156
  6. Step 6: Final answer
    x = 5,588,756.77

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.