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Finding the Third Proportional to 511,915.50 and 1,112,406.75

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Solution

The third proportional to 511,915.50 and 1,112,406.75 is: 2,417,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,915.50 : 1,112,406.75 = 1,112,406.75 : x
  2. Step 2: Convert to fraction form
    511,915.50/1,112,406.75 = 1,112,406.75/x
  3. Step 3: Cross multiply
    511,915.50x = 1,112,406.75 × 1,112,406.75
  4. Step 4: Simplify right side
    511,915.50x = 1,237,448,777,445.56
  5. Step 5: Solve for x
    x = 1,237,448,777,445.56/511,915.50
  6. Step 6: Final answer
    x = 2,417,291.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.