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Finding the Third Proportional to 1,782,965 and 3,856,531

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Solution

The third proportional to 1,782,965 and 3,856,531 is: 8,341,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,965 : 3,856,531 = 3,856,531 : x
  2. Step 2: Convert to fraction form
    1,782,965/3,856,531 = 3,856,531/x
  3. Step 3: Cross multiply
    1,782,965x = 3,856,531 × 3,856,531
  4. Step 4: Simplify right side
    1,782,965x = 14,872,831,353,961
  5. Step 5: Solve for x
    x = 14,872,831,353,961/1,782,965
  6. Step 6: Final answer
    x = 8,341,628.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.