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Finding the Third Proportional to 517,772.75 and 1,129,677.75

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Solution

The third proportional to 517,772.75 and 1,129,677.75 is: 2,464,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,772.75 : 1,129,677.75 = 1,129,677.75 : x
  2. Step 2: Convert to fraction form
    517,772.75/1,129,677.75 = 1,129,677.75/x
  3. Step 3: Cross multiply
    517,772.75x = 1,129,677.75 × 1,129,677.75
  4. Step 4: Simplify right side
    517,772.75x = 1,276,171,818,845.06
  5. Step 5: Solve for x
    x = 1,276,171,818,845.06/517,772.75
  6. Step 6: Final answer
    x = 2,464,733.45

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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.