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Finding the Third Proportional to 478,116 and 1,043,163

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Solution

The third proportional to 478,116 and 1,043,163 is: 2,275,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,116 : 1,043,163 = 1,043,163 : x
  2. Step 2: Convert to fraction form
    478,116/1,043,163 = 1,043,163/x
  3. Step 3: Cross multiply
    478,116x = 1,043,163 × 1,043,163
  4. Step 4: Simplify right side
    478,116x = 1,088,189,044,569
  5. Step 5: Solve for x
    x = 1,088,189,044,569/478,116
  6. Step 6: Final answer
    x = 2,275,993.79

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