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Finding the Third Proportional to 733,494 and 1,122,023

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Solution

The third proportional to 733,494 and 1,122,023 is: 1,716,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,494 : 1,122,023 = 1,122,023 : x
  2. Step 2: Convert to fraction form
    733,494/1,122,023 = 1,122,023/x
  3. Step 3: Cross multiply
    733,494x = 1,122,023 × 1,122,023
  4. Step 4: Simplify right side
    733,494x = 1,258,935,612,529
  5. Step 5: Solve for x
    x = 1,258,935,612,529/733,494
  6. Step 6: Final answer
    x = 1,716,354.34

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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.