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Finding the Third Proportional to 1,614,156.75 and 2,412,608.63

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Solution

The third proportional to 1,614,156.75 and 2,412,608.63 is: 3,606,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,156.75 : 2,412,608.63 = 2,412,608.63 : x
  2. Step 2: Convert to fraction form
    1,614,156.75/2,412,608.63 = 2,412,608.63/x
  3. Step 3: Cross multiply
    1,614,156.75x = 2,412,608.63 × 2,412,608.63
  4. Step 4: Simplify right side
    1,614,156.75x = 5,820,680,377,424.39
  5. Step 5: Solve for x
    x = 5,820,680,377,424.39/1,614,156.75
  6. Step 6: Final answer
    x = 3,606,019.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.