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Finding the Third Proportional to 606,013.50 and 1,274,842.50

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Solution

The third proportional to 606,013.50 and 1,274,842.50 is: 2,681,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,013.50 : 1,274,842.50 = 1,274,842.50 : x
  2. Step 2: Convert to fraction form
    606,013.50/1,274,842.50 = 1,274,842.50/x
  3. Step 3: Cross multiply
    606,013.50x = 1,274,842.50 × 1,274,842.50
  4. Step 4: Simplify right side
    606,013.50x = 1,625,223,399,806.25
  5. Step 5: Solve for x
    x = 1,625,223,399,806.25/606,013.50
  6. Step 6: Final answer
    x = 2,681,827.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.