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Finding the Third Proportional to 612,694.13 and 947,791.13

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Solution

The third proportional to 612,694.13 and 947,791.13 is: 1,466,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,694.13 : 947,791.13 = 947,791.13 : x
  2. Step 2: Convert to fraction form
    612,694.13/947,791.13 = 947,791.13/x
  3. Step 3: Cross multiply
    612,694.13x = 947,791.13 × 947,791.13
  4. Step 4: Simplify right side
    612,694.13x = 898,308,016,628.77
  5. Step 5: Solve for x
    x = 898,308,016,628.77/612,694.13
  6. Step 6: Final answer
    x = 1,466,160.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.