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Finding the Third Proportional to 511,850.81 and 1,113,998.06

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Solution

The third proportional to 511,850.81 and 1,113,998.06 is: 2,424,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,850.81 : 1,113,998.06 = 1,113,998.06 : x
  2. Step 2: Convert to fraction form
    511,850.81/1,113,998.06 = 1,113,998.06/x
  3. Step 3: Cross multiply
    511,850.81x = 1,113,998.06 × 1,113,998.06
  4. Step 4: Simplify right side
    511,850.81x = 1,240,991,683,253.75
  5. Step 5: Solve for x
    x = 1,240,991,683,253.75/511,850.81
  6. Step 6: Final answer
    x = 2,424,518.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.