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Finding the Third Proportional to 625,828 and 1,284,831

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Solution

The third proportional to 625,828 and 1,284,831 is: 2,637,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,828 : 1,284,831 = 1,284,831 : x
  2. Step 2: Convert to fraction form
    625,828/1,284,831 = 1,284,831/x
  3. Step 3: Cross multiply
    625,828x = 1,284,831 × 1,284,831
  4. Step 4: Simplify right side
    625,828x = 1,650,790,698,561
  5. Step 5: Solve for x
    x = 1,650,790,698,561/625,828
  6. Step 6: Final answer
    x = 2,637,770.60

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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.