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Finding the Third Proportional to 475,494 and 1,025,888

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Solution

The third proportional to 475,494 and 1,025,888 is: 2,213,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,494 : 1,025,888 = 1,025,888 : x
  2. Step 2: Convert to fraction form
    475,494/1,025,888 = 1,025,888/x
  3. Step 3: Cross multiply
    475,494x = 1,025,888 × 1,025,888
  4. Step 4: Simplify right side
    475,494x = 1,052,446,188,544
  5. Step 5: Solve for x
    x = 1,052,446,188,544/475,494
  6. Step 6: Final answer
    x = 2,213,374.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.