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Finding the Third Proportional to 738,354 and 1,738,458

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Solution

The third proportional to 738,354 and 1,738,458 is: 4,093,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,354 : 1,738,458 = 1,738,458 : x
  2. Step 2: Convert to fraction form
    738,354/1,738,458 = 1,738,458/x
  3. Step 3: Cross multiply
    738,354x = 1,738,458 × 1,738,458
  4. Step 4: Simplify right side
    738,354x = 3,022,236,217,764
  5. Step 5: Solve for x
    x = 3,022,236,217,764/738,354
  6. Step 6: Final answer
    x = 4,093,207.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.