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Finding the Third Proportional to 481,746 and 1,049,285

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Solution

The third proportional to 481,746 and 1,049,285 is: 2,285,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,746 : 1,049,285 = 1,049,285 : x
  2. Step 2: Convert to fraction form
    481,746/1,049,285 = 1,049,285/x
  3. Step 3: Cross multiply
    481,746x = 1,049,285 × 1,049,285
  4. Step 4: Simplify right side
    481,746x = 1,100,999,011,225
  5. Step 5: Solve for x
    x = 1,100,999,011,225/481,746
  6. Step 6: Final answer
    x = 2,285,434.67

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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.