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Finding the Third Proportional to 2,869,634 and 4,289,115

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Solution

The third proportional to 2,869,634 and 4,289,115 is: 6,410,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,634 : 4,289,115 = 4,289,115 : x
  2. Step 2: Convert to fraction form
    2,869,634/4,289,115 = 4,289,115/x
  3. Step 3: Cross multiply
    2,869,634x = 4,289,115 × 4,289,115
  4. Step 4: Simplify right side
    2,869,634x = 18,396,507,483,225
  5. Step 5: Solve for x
    x = 18,396,507,483,225/2,869,634
  6. Step 6: Final answer
    x = 6,410,750.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.