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Finding the Third Proportional to 502,672.08 and 1,093,796.16

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Solution

The third proportional to 502,672.08 and 1,093,796.16 is: 2,380,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,672.08 : 1,093,796.16 = 1,093,796.16 : x
  2. Step 2: Convert to fraction form
    502,672.08/1,093,796.16 = 1,093,796.16/x
  3. Step 3: Cross multiply
    502,672.08x = 1,093,796.16 × 1,093,796.16
  4. Step 4: Simplify right side
    502,672.08x = 1,196,390,031,427.27
  5. Step 5: Solve for x
    x = 1,196,390,031,427.27/502,672.08
  6. Step 6: Final answer
    x = 2,380,060.65

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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.