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Finding the Third Proportional to 428,434.31 and 1,015,036.31

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Solution

The third proportional to 428,434.31 and 1,015,036.31 is: 2,404,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,434.31 : 1,015,036.31 = 1,015,036.31 : x
  2. Step 2: Convert to fraction form
    428,434.31/1,015,036.31 = 1,015,036.31/x
  3. Step 3: Cross multiply
    428,434.31x = 1,015,036.31 × 1,015,036.31
  4. Step 4: Simplify right side
    428,434.31x = 1,030,298,715,693.60
  5. Step 5: Solve for x
    x = 1,030,298,715,693.60/428,434.31
  6. Step 6: Final answer
    x = 2,404,799.72

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.