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Finding the Third Proportional to 559,610.56 and 1,199,069.44

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Solution

The third proportional to 559,610.56 and 1,199,069.44 is: 2,569,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,610.56 : 1,199,069.44 = 1,199,069.44 : x
  2. Step 2: Convert to fraction form
    559,610.56/1,199,069.44 = 1,199,069.44/x
  3. Step 3: Cross multiply
    559,610.56x = 1,199,069.44 × 1,199,069.44
  4. Step 4: Simplify right side
    559,610.56x = 1,437,767,515,946.57
  5. Step 5: Solve for x
    x = 1,437,767,515,946.57/559,610.56
  6. Step 6: Final answer
    x = 2,569,228.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.