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Finding the Third Proportional to 473,910.75 and 1,027,624.22

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Solution

The third proportional to 473,910.75 and 1,027,624.22 is: 2,228,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,910.75 : 1,027,624.22 = 1,027,624.22 : x
  2. Step 2: Convert to fraction form
    473,910.75/1,027,624.22 = 1,027,624.22/x
  3. Step 3: Cross multiply
    473,910.75x = 1,027,624.22 × 1,027,624.22
  4. Step 4: Simplify right side
    473,910.75x = 1,056,011,534,961.55
  5. Step 5: Solve for x
    x = 1,056,011,534,961.55/473,910.75
  6. Step 6: Final answer
    x = 2,228,292.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.