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Finding the Third Proportional to 625,825 and 1,284,826

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Solution

The third proportional to 625,825 and 1,284,826 is: 2,637,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,825 : 1,284,826 = 1,284,826 : x
  2. Step 2: Convert to fraction form
    625,825/1,284,826 = 1,284,826/x
  3. Step 3: Cross multiply
    625,825x = 1,284,826 × 1,284,826
  4. Step 4: Simplify right side
    625,825x = 1,650,777,850,276
  5. Step 5: Solve for x
    x = 1,650,777,850,276/625,825
  6. Step 6: Final answer
    x = 2,637,762.71

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