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Finding the Third Proportional to 2,092,258.48 and 3,231,617.13

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Solution

The third proportional to 2,092,258.48 and 3,231,617.13 is: 4,991,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,258.48 : 3,231,617.13 = 3,231,617.13 : x
  2. Step 2: Convert to fraction form
    2,092,258.48/3,231,617.13 = 3,231,617.13/x
  3. Step 3: Cross multiply
    2,092,258.48x = 3,231,617.13 × 3,231,617.13
  4. Step 4: Simplify right side
    2,092,258.48x = 10,443,349,293,086.64
  5. Step 5: Solve for x
    x = 10,443,349,293,086.64/2,092,258.48
  6. Step 6: Final answer
    x = 4,991,424.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.