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Finding the Third Proportional to 569,770.88 and 1,215,804.94

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Solution

The third proportional to 569,770.88 and 1,215,804.94 is: 2,594,343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,770.88 : 1,215,804.94 = 1,215,804.94 : x
  2. Step 2: Convert to fraction form
    569,770.88/1,215,804.94 = 1,215,804.94/x
  3. Step 3: Cross multiply
    569,770.88x = 1,215,804.94 × 1,215,804.94
  4. Step 4: Simplify right side
    569,770.88x = 1,478,181,646,049.38
  5. Step 5: Solve for x
    x = 1,478,181,646,049.38/569,770.88
  6. Step 6: Final answer
    x = 2,594,343.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.