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Finding the Third Proportional to 475,124 and 1,056,493

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Solution

The third proportional to 475,124 and 1,056,493 is: 2,349,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,124 : 1,056,493 = 1,056,493 : x
  2. Step 2: Convert to fraction form
    475,124/1,056,493 = 1,056,493/x
  3. Step 3: Cross multiply
    475,124x = 1,056,493 × 1,056,493
  4. Step 4: Simplify right side
    475,124x = 1,116,177,459,049
  5. Step 5: Solve for x
    x = 1,116,177,459,049/475,124
  6. Step 6: Final answer
    x = 2,349,234.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.