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Finding the Third Proportional to 545,646.94 and 826,018.88

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Solution

The third proportional to 545,646.94 and 826,018.88 is: 1,250,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,646.94 : 826,018.88 = 826,018.88 : x
  2. Step 2: Convert to fraction form
    545,646.94/826,018.88 = 826,018.88/x
  3. Step 3: Cross multiply
    545,646.94x = 826,018.88 × 826,018.88
  4. Step 4: Simplify right side
    545,646.94x = 682,307,181,856.27
  5. Step 5: Solve for x
    x = 682,307,181,856.27/545,646.94
  6. Step 6: Final answer
    x = 1,250,455.44

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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.