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Finding the Third Proportional to 512,874 and 1,187,210.63

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Solution

The third proportional to 512,874 and 1,187,210.63 is: 2,748,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,874 : 1,187,210.63 = 1,187,210.63 : x
  2. Step 2: Convert to fraction form
    512,874/1,187,210.63 = 1,187,210.63/x
  3. Step 3: Cross multiply
    512,874x = 1,187,210.63 × 1,187,210.63
  4. Step 4: Simplify right side
    512,874x = 1,409,469,068,112.89
  5. Step 5: Solve for x
    x = 1,409,469,068,112.89/512,874
  6. Step 6: Final answer
    x = 2,748,178.05

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.