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Finding the Third Proportional to 613,406.67 and 1,348,635.45

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Solution

The third proportional to 613,406.67 and 1,348,635.45 is: 2,965,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,406.67 : 1,348,635.45 = 1,348,635.45 : x
  2. Step 2: Convert to fraction form
    613,406.67/1,348,635.45 = 1,348,635.45/x
  3. Step 3: Cross multiply
    613,406.67x = 1,348,635.45 × 1,348,635.45
  4. Step 4: Simplify right side
    613,406.67x = 1,818,817,564,353.25
  5. Step 5: Solve for x
    x = 1,818,817,564,353.25/613,406.67
  6. Step 6: Final answer
    x = 2,965,108.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.