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Finding the Third Proportional to 674,529 and 1,444,692

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Solution

The third proportional to 674,529 and 1,444,692 is: 3,094,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,529 : 1,444,692 = 1,444,692 : x
  2. Step 2: Convert to fraction form
    674,529/1,444,692 = 1,444,692/x
  3. Step 3: Cross multiply
    674,529x = 1,444,692 × 1,444,692
  4. Step 4: Simplify right side
    674,529x = 2,087,134,974,864
  5. Step 5: Solve for x
    x = 2,087,134,974,864/674,529
  6. Step 6: Final answer
    x = 3,094,210.89

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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.