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Finding the Third Proportional to 684,018 and 1,496,586.38

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Solution

The third proportional to 684,018 and 1,496,586.38 is: 3,274,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,018 : 1,496,586.38 = 1,496,586.38 : x
  2. Step 2: Convert to fraction form
    684,018/1,496,586.38 = 1,496,586.38/x
  3. Step 3: Cross multiply
    684,018x = 1,496,586.38 × 1,496,586.38
  4. Step 4: Simplify right side
    684,018x = 2,239,770,777,835.64
  5. Step 5: Solve for x
    x = 2,239,770,777,835.64/684,018
  6. Step 6: Final answer
    x = 3,274,432.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.