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Finding the Third Proportional to 740,183 and 1,614,228

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Solution

The third proportional to 740,183 and 1,614,228 is: 3,520,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,183 : 1,614,228 = 1,614,228 : x
  2. Step 2: Convert to fraction form
    740,183/1,614,228 = 1,614,228/x
  3. Step 3: Cross multiply
    740,183x = 1,614,228 × 1,614,228
  4. Step 4: Simplify right side
    740,183x = 2,605,732,035,984
  5. Step 5: Solve for x
    x = 2,605,732,035,984/740,183
  6. Step 6: Final answer
    x = 3,520,388.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.