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Finding the Third Proportional to 949,384 and 1,424,266

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Solution

The third proportional to 949,384 and 1,424,266 is: 2,136,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,384 : 1,424,266 = 1,424,266 : x
  2. Step 2: Convert to fraction form
    949,384/1,424,266 = 1,424,266/x
  3. Step 3: Cross multiply
    949,384x = 1,424,266 × 1,424,266
  4. Step 4: Simplify right side
    949,384x = 2,028,533,638,756
  5. Step 5: Solve for x
    x = 2,028,533,638,756/949,384
  6. Step 6: Final answer
    x = 2,136,684.04

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Why These Related Problems?

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