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Finding the Third Proportional to 1,650,948 and 2,468,832

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Solution

The third proportional to 1,650,948 and 2,468,832 is: 3,691,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,948 : 2,468,832 = 2,468,832 : x
  2. Step 2: Convert to fraction form
    1,650,948/2,468,832 = 2,468,832/x
  3. Step 3: Cross multiply
    1,650,948x = 2,468,832 × 2,468,832
  4. Step 4: Simplify right side
    1,650,948x = 6,095,131,444,224
  5. Step 5: Solve for x
    x = 6,095,131,444,224/1,650,948
  6. Step 6: Final answer
    x = 3,691,897.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.