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Finding the Third Proportional to 517,660.88 and 1,060,421.63

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Solution

The third proportional to 517,660.88 and 1,060,421.63 is: 2,172,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,660.88 : 1,060,421.63 = 1,060,421.63 : x
  2. Step 2: Convert to fraction form
    517,660.88/1,060,421.63 = 1,060,421.63/x
  3. Step 3: Cross multiply
    517,660.88x = 1,060,421.63 × 1,060,421.63
  4. Step 4: Simplify right side
    517,660.88x = 1,124,494,022,767.64
  5. Step 5: Solve for x
    x = 1,124,494,022,767.64/517,660.88
  6. Step 6: Final answer
    x = 2,172,260.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.