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Finding the Third Proportional to 1,640,644 and 2,567,825

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Solution

The third proportional to 1,640,644 and 2,567,825 is: 4,018,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,644 : 2,567,825 = 2,567,825 : x
  2. Step 2: Convert to fraction form
    1,640,644/2,567,825 = 2,567,825/x
  3. Step 3: Cross multiply
    1,640,644x = 2,567,825 × 2,567,825
  4. Step 4: Simplify right side
    1,640,644x = 6,593,725,230,625
  5. Step 5: Solve for x
    x = 6,593,725,230,625/1,640,644
  6. Step 6: Final answer
    x = 4,018,985.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.