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Finding the Third Proportional to 512,855.93 and 1,116,016.10

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Solution

The third proportional to 512,855.93 and 1,116,016.10 is: 2,428,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,855.93 : 1,116,016.10 = 1,116,016.10 : x
  2. Step 2: Convert to fraction form
    512,855.93/1,116,016.10 = 1,116,016.10/x
  3. Step 3: Cross multiply
    512,855.93x = 1,116,016.10 × 1,116,016.10
  4. Step 4: Simplify right side
    512,855.93x = 1,245,491,938,946.76
  5. Step 5: Solve for x
    x = 1,245,491,938,946.76/512,855.93
  6. Step 6: Final answer
    x = 2,428,541.56

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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.