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Finding the Third Proportional to 475,936.38 and 1,038,688.31

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Solution

The third proportional to 475,936.38 and 1,038,688.31 is: 2,266,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,936.38 : 1,038,688.31 = 1,038,688.31 : x
  2. Step 2: Convert to fraction form
    475,936.38/1,038,688.31 = 1,038,688.31/x
  3. Step 3: Cross multiply
    475,936.38x = 1,038,688.31 × 1,038,688.31
  4. Step 4: Simplify right side
    475,936.38x = 1,078,873,410,524.10
  5. Step 5: Solve for x
    x = 1,078,873,410,524.10/475,936.38
  6. Step 6: Final answer
    x = 2,266,843.74

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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.