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Finding the Third Proportional to 737,021 and 1,598,458

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Solution

The third proportional to 737,021 and 1,598,458 is: 3,466,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,021 : 1,598,458 = 1,598,458 : x
  2. Step 2: Convert to fraction form
    737,021/1,598,458 = 1,598,458/x
  3. Step 3: Cross multiply
    737,021x = 1,598,458 × 1,598,458
  4. Step 4: Simplify right side
    737,021x = 2,555,067,977,764
  5. Step 5: Solve for x
    x = 2,555,067,977,764/737,021
  6. Step 6: Final answer
    x = 3,466,750.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.