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Finding the Third Proportional to 675,789 and 1,463,115

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Solution

The third proportional to 675,789 and 1,463,115 is: 3,167,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,789 : 1,463,115 = 1,463,115 : x
  2. Step 2: Convert to fraction form
    675,789/1,463,115 = 1,463,115/x
  3. Step 3: Cross multiply
    675,789x = 1,463,115 × 1,463,115
  4. Step 4: Simplify right side
    675,789x = 2,140,705,503,225
  5. Step 5: Solve for x
    x = 2,140,705,503,225/675,789
  6. Step 6: Final answer
    x = 3,167,712.86

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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.