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Finding the Third Proportional to 481,750 and 1,049,292

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Solution

The third proportional to 481,750 and 1,049,292 is: 2,285,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,750 : 1,049,292 = 1,049,292 : x
  2. Step 2: Convert to fraction form
    481,750/1,049,292 = 1,049,292/x
  3. Step 3: Cross multiply
    481,750x = 1,049,292 × 1,049,292
  4. Step 4: Simplify right side
    481,750x = 1,101,013,701,264
  5. Step 5: Solve for x
    x = 1,101,013,701,264/481,750
  6. Step 6: Final answer
    x = 2,285,446.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.