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Finding the Third Proportional to 734,024 and 1,033,654

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Solution

The third proportional to 734,024 and 1,033,654 is: 1,455,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,024 : 1,033,654 = 1,033,654 : x
  2. Step 2: Convert to fraction form
    734,024/1,033,654 = 1,033,654/x
  3. Step 3: Cross multiply
    734,024x = 1,033,654 × 1,033,654
  4. Step 4: Simplify right side
    734,024x = 1,068,440,591,716
  5. Step 5: Solve for x
    x = 1,068,440,591,716/734,024
  6. Step 6: Final answer
    x = 1,455,593.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.