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Finding the Third Proportional to 463,331.25 and 1,001,611.13

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Solution

The third proportional to 463,331.25 and 1,001,611.13 is: 2,165,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,331.25 : 1,001,611.13 = 1,001,611.13 : x
  2. Step 2: Convert to fraction form
    463,331.25/1,001,611.13 = 1,001,611.13/x
  3. Step 3: Cross multiply
    463,331.25x = 1,001,611.13 × 1,001,611.13
  4. Step 4: Simplify right side
    463,331.25x = 1,003,224,845,723.77
  5. Step 5: Solve for x
    x = 1,003,224,845,723.77/463,331.25
  6. Step 6: Final answer
    x = 2,165,243.22

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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.