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Finding the Third Proportional to 674,262 and 1,535,589

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Solution

The third proportional to 674,262 and 1,535,589 is: 3,497,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,262 : 1,535,589 = 1,535,589 : x
  2. Step 2: Convert to fraction form
    674,262/1,535,589 = 1,535,589/x
  3. Step 3: Cross multiply
    674,262x = 1,535,589 × 1,535,589
  4. Step 4: Simplify right side
    674,262x = 2,358,033,576,921
  5. Step 5: Solve for x
    x = 2,358,033,576,921/674,262
  6. Step 6: Final answer
    x = 3,497,206.69

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.