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Finding the Third Proportional to 946,347.75 and 2,052,414

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Solution

The third proportional to 946,347.75 and 2,052,414 is: 4,451,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,347.75 : 2,052,414 = 2,052,414 : x
  2. Step 2: Convert to fraction form
    946,347.75/2,052,414 = 2,052,414/x
  3. Step 3: Cross multiply
    946,347.75x = 2,052,414 × 2,052,414
  4. Step 4: Simplify right side
    946,347.75x = 4,212,403,227,396
  5. Step 5: Solve for x
    x = 4,212,403,227,396/946,347.75
  6. Step 6: Final answer
    x = 4,451,221.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.