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Finding the Third Proportional to 906,514.88 and 1,359,772.31

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Solution

The third proportional to 906,514.88 and 1,359,772.31 is: 2,039,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,514.88 : 1,359,772.31 = 1,359,772.31 : x
  2. Step 2: Convert to fraction form
    906,514.88/1,359,772.31 = 1,359,772.31/x
  3. Step 3: Cross multiply
    906,514.88x = 1,359,772.31 × 1,359,772.31
  4. Step 4: Simplify right side
    906,514.88x = 1,848,980,741,841.60
  5. Step 5: Solve for x
    x = 1,848,980,741,841.60/906,514.88
  6. Step 6: Final answer
    x = 2,039,658.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.