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Finding the Third Proportional to 674,413 and 1,444,475

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Solution

The third proportional to 674,413 and 1,444,475 is: 3,093,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,413 : 1,444,475 = 1,444,475 : x
  2. Step 2: Convert to fraction form
    674,413/1,444,475 = 1,444,475/x
  3. Step 3: Cross multiply
    674,413x = 1,444,475 × 1,444,475
  4. Step 4: Simplify right side
    674,413x = 2,086,508,025,625
  5. Step 5: Solve for x
    x = 2,086,508,025,625/674,413
  6. Step 6: Final answer
    x = 3,093,813.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.