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Finding the Third Proportional to 675,658 and 1,468,135

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Solution

The third proportional to 675,658 and 1,468,135 is: 3,190,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,658 : 1,468,135 = 1,468,135 : x
  2. Step 2: Convert to fraction form
    675,658/1,468,135 = 1,468,135/x
  3. Step 3: Cross multiply
    675,658x = 1,468,135 × 1,468,135
  4. Step 4: Simplify right side
    675,658x = 2,155,420,378,225
  5. Step 5: Solve for x
    x = 2,155,420,378,225/675,658
  6. Step 6: Final answer
    x = 3,190,105.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.