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Finding the Third Proportional to 678,980.81 and 1,474,733.25

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Solution

The third proportional to 678,980.81 and 1,474,733.25 is: 3,203,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,980.81 : 1,474,733.25 = 1,474,733.25 : x
  2. Step 2: Convert to fraction form
    678,980.81/1,474,733.25 = 1,474,733.25/x
  3. Step 3: Cross multiply
    678,980.81x = 1,474,733.25 × 1,474,733.25
  4. Step 4: Simplify right side
    678,980.81x = 2,174,838,158,655.56
  5. Step 5: Solve for x
    x = 2,174,838,158,655.56/678,980.81
  6. Step 6: Final answer
    x = 3,203,092.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.