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Finding the Third Proportional to 740,185 and 1,614,232

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Solution

The third proportional to 740,185 and 1,614,232 is: 3,520,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,185 : 1,614,232 = 1,614,232 : x
  2. Step 2: Convert to fraction form
    740,185/1,614,232 = 1,614,232/x
  3. Step 3: Cross multiply
    740,185x = 1,614,232 × 1,614,232
  4. Step 4: Simplify right side
    740,185x = 2,605,744,949,824
  5. Step 5: Solve for x
    x = 2,605,744,949,824/740,185
  6. Step 6: Final answer
    x = 3,520,396.86

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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.