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Finding the Third Proportional to 740,182 and 1,614,226

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Solution

The third proportional to 740,182 and 1,614,226 is: 3,520,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,182 : 1,614,226 = 1,614,226 : x
  2. Step 2: Convert to fraction form
    740,182/1,614,226 = 1,614,226/x
  3. Step 3: Cross multiply
    740,182x = 1,614,226 × 1,614,226
  4. Step 4: Simplify right side
    740,182x = 2,605,725,579,076
  5. Step 5: Solve for x
    x = 2,605,725,579,076/740,182
  6. Step 6: Final answer
    x = 3,520,384.96

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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.