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Finding the Third Proportional to 1,003,469 and 2,144,314

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Solution

The third proportional to 1,003,469 and 2,144,314 is: 4,582,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,469 : 2,144,314 = 2,144,314 : x
  2. Step 2: Convert to fraction form
    1,003,469/2,144,314 = 2,144,314/x
  3. Step 3: Cross multiply
    1,003,469x = 2,144,314 × 2,144,314
  4. Step 4: Simplify right side
    1,003,469x = 4,598,082,530,596
  5. Step 5: Solve for x
    x = 4,598,082,530,596/1,003,469
  6. Step 6: Final answer
    x = 4,582,186.92

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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.