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Finding the Third Proportional to 674,424 and 1,444,506

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Solution

The third proportional to 674,424 and 1,444,506 is: 3,093,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,424 : 1,444,506 = 1,444,506 : x
  2. Step 2: Convert to fraction form
    674,424/1,444,506 = 1,444,506/x
  3. Step 3: Cross multiply
    674,424x = 1,444,506 × 1,444,506
  4. Step 4: Simplify right side
    674,424x = 2,086,597,584,036
  5. Step 5: Solve for x
    x = 2,086,597,584,036/674,424
  6. Step 6: Final answer
    x = 3,093,895.80

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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.