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Finding the Third Proportional to 478,105 and 1,029,979

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Solution

The third proportional to 478,105 and 1,029,979 is: 2,218,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,105 : 1,029,979 = 1,029,979 : x
  2. Step 2: Convert to fraction form
    478,105/1,029,979 = 1,029,979/x
  3. Step 3: Cross multiply
    478,105x = 1,029,979 × 1,029,979
  4. Step 4: Simplify right side
    478,105x = 1,060,856,740,441
  5. Step 5: Solve for x
    x = 1,060,856,740,441/478,105
  6. Step 6: Final answer
    x = 2,218,878.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.