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Finding the Third Proportional to 519,134.06 and 785,873.39

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Solution

The third proportional to 519,134.06 and 785,873.39 is: 1,189,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,134.06 : 785,873.39 = 785,873.39 : x
  2. Step 2: Convert to fraction form
    519,134.06/785,873.39 = 785,873.39/x
  3. Step 3: Cross multiply
    519,134.06x = 785,873.39 × 785,873.39
  4. Step 4: Simplify right side
    519,134.06x = 617,596,986,092.43
  5. Step 5: Solve for x
    x = 617,596,986,092.43/519,134.06
  6. Step 6: Final answer
    x = 1,189,667.62

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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.