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Finding the Third Proportional to 474,006 and 1,014,441

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Solution

The third proportional to 474,006 and 1,014,441 is: 2,171,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,006 : 1,014,441 = 1,014,441 : x
  2. Step 2: Convert to fraction form
    474,006/1,014,441 = 1,014,441/x
  3. Step 3: Cross multiply
    474,006x = 1,014,441 × 1,014,441
  4. Step 4: Simplify right side
    474,006x = 1,029,090,542,481
  5. Step 5: Solve for x
    x = 1,029,090,542,481/474,006
  6. Step 6: Final answer
    x = 2,171,049.61

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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.