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Finding the Third Proportional to 625,822.50 and 1,284,821.38

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Solution

The third proportional to 625,822.50 and 1,284,821.38 is: 2,637,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,822.50 : 1,284,821.38 = 1,284,821.38 : x
  2. Step 2: Convert to fraction form
    625,822.50/1,284,821.38 = 1,284,821.38/x
  3. Step 3: Cross multiply
    625,822.50x = 1,284,821.38 × 1,284,821.38
  4. Step 4: Simplify right side
    625,822.50x = 1,650,765,965,656.89
  5. Step 5: Solve for x
    x = 1,650,765,965,656.89/625,822.50
  6. Step 6: Final answer
    x = 2,637,754.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.