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Finding the Third Proportional to 545,643.84 and 826,014.38

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Solution

The third proportional to 545,643.84 and 826,014.38 is: 1,250,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,643.84 : 826,014.38 = 826,014.38 : x
  2. Step 2: Convert to fraction form
    545,643.84/826,014.38 = 826,014.38/x
  3. Step 3: Cross multiply
    545,643.84x = 826,014.38 × 826,014.38
  4. Step 4: Simplify right side
    545,643.84x = 682,299,747,706.64
  5. Step 5: Solve for x
    x = 682,299,747,706.64/545,643.84
  6. Step 6: Final answer
    x = 1,250,448.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.