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Finding the Third Proportional to 709,880 and 1,540,165

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Solution

The third proportional to 709,880 and 1,540,165 is: 3,341,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,880 : 1,540,165 = 1,540,165 : x
  2. Step 2: Convert to fraction form
    709,880/1,540,165 = 1,540,165/x
  3. Step 3: Cross multiply
    709,880x = 1,540,165 × 1,540,165
  4. Step 4: Simplify right side
    709,880x = 2,372,108,227,225
  5. Step 5: Solve for x
    x = 2,372,108,227,225/709,880
  6. Step 6: Final answer
    x = 3,341,562.27

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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.