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Finding the Third Proportional to 613,027.13 and 1,336,402.13

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Solution

The third proportional to 613,027.13 and 1,336,402.13 is: 2,913,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,027.13 : 1,336,402.13 = 1,336,402.13 : x
  2. Step 2: Convert to fraction form
    613,027.13/1,336,402.13 = 1,336,402.13/x
  3. Step 3: Cross multiply
    613,027.13x = 1,336,402.13 × 1,336,402.13
  4. Step 4: Simplify right side
    613,027.13x = 1,785,970,639,704.52
  5. Step 5: Solve for x
    x = 1,785,970,639,704.52/613,027.13
  6. Step 6: Final answer
    x = 2,913,363.16

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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.