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Finding the Third Proportional to 949,374 and 1,424,250

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Solution

The third proportional to 949,374 and 1,424,250 is: 2,136,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,374 : 1,424,250 = 1,424,250 : x
  2. Step 2: Convert to fraction form
    949,374/1,424,250 = 1,424,250/x
  3. Step 3: Cross multiply
    949,374x = 1,424,250 × 1,424,250
  4. Step 4: Simplify right side
    949,374x = 2,028,488,062,500
  5. Step 5: Solve for x
    x = 2,028,488,062,500/949,374
  6. Step 6: Final answer
    x = 2,136,658.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.