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Finding the Third Proportional to 473,956 and 1,039,756

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Solution

The third proportional to 473,956 and 1,039,756 is: 2,280,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,956 : 1,039,756 = 1,039,756 : x
  2. Step 2: Convert to fraction form
    473,956/1,039,756 = 1,039,756/x
  3. Step 3: Cross multiply
    473,956x = 1,039,756 × 1,039,756
  4. Step 4: Simplify right side
    473,956x = 1,081,092,539,536
  5. Step 5: Solve for x
    x = 1,081,092,539,536/473,956
  6. Step 6: Final answer
    x = 2,280,997.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.