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Finding the Third Proportional to 1,959,214 and 2,968,380

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Solution

The third proportional to 1,959,214 and 2,968,380 is: 4,497,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,214 : 2,968,380 = 2,968,380 : x
  2. Step 2: Convert to fraction form
    1,959,214/2,968,380 = 2,968,380/x
  3. Step 3: Cross multiply
    1,959,214x = 2,968,380 × 2,968,380
  4. Step 4: Simplify right side
    1,959,214x = 8,811,279,824,400
  5. Step 5: Solve for x
    x = 8,811,279,824,400/1,959,214
  6. Step 6: Final answer
    x = 4,497,354.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.