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Finding the Third Proportional to 733,974 and 1,124,289

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Solution

The third proportional to 733,974 and 1,124,289 is: 1,722,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,974 : 1,124,289 = 1,124,289 : x
  2. Step 2: Convert to fraction form
    733,974/1,124,289 = 1,124,289/x
  3. Step 3: Cross multiply
    733,974x = 1,124,289 × 1,124,289
  4. Step 4: Simplify right side
    733,974x = 1,264,025,755,521
  5. Step 5: Solve for x
    x = 1,264,025,755,521/733,974
  6. Step 6: Final answer
    x = 1,722,166.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.