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Finding the Third Proportional to 991,016 and 1,463,196

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Solution

The third proportional to 991,016 and 1,463,196 is: 2,160,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,016 : 1,463,196 = 1,463,196 : x
  2. Step 2: Convert to fraction form
    991,016/1,463,196 = 1,463,196/x
  3. Step 3: Cross multiply
    991,016x = 1,463,196 × 1,463,196
  4. Step 4: Simplify right side
    991,016x = 2,140,942,534,416
  5. Step 5: Solve for x
    x = 2,140,942,534,416/991,016
  6. Step 6: Final answer
    x = 2,160,351.13

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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.