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Finding the Third Proportional to 991,018 and 1,463,199

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Solution

The third proportional to 991,018 and 1,463,199 is: 2,160,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,018 : 1,463,199 = 1,463,199 : x
  2. Step 2: Convert to fraction form
    991,018/1,463,199 = 1,463,199/x
  3. Step 3: Cross multiply
    991,018x = 1,463,199 × 1,463,199
  4. Step 4: Simplify right side
    991,018x = 2,140,951,313,601
  5. Step 5: Solve for x
    x = 2,140,951,313,601/991,018
  6. Step 6: Final answer
    x = 2,160,355.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.