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Finding the Third Proportional to 637,123 and 1,368,689

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Solution

The third proportional to 637,123 and 1,368,689 is: 2,940,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,123 : 1,368,689 = 1,368,689 : x
  2. Step 2: Convert to fraction form
    637,123/1,368,689 = 1,368,689/x
  3. Step 3: Cross multiply
    637,123x = 1,368,689 × 1,368,689
  4. Step 4: Simplify right side
    637,123x = 1,873,309,578,721
  5. Step 5: Solve for x
    x = 1,873,309,578,721/637,123
  6. Step 6: Final answer
    x = 2,940,263.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.