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Finding the Third Proportional to 949,376 and 1,424,253

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Solution

The third proportional to 949,376 and 1,424,253 is: 2,136,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,376 : 1,424,253 = 1,424,253 : x
  2. Step 2: Convert to fraction form
    949,376/1,424,253 = 1,424,253/x
  3. Step 3: Cross multiply
    949,376x = 1,424,253 × 1,424,253
  4. Step 4: Simplify right side
    949,376x = 2,028,496,608,009
  5. Step 5: Solve for x
    x = 2,028,496,608,009/949,376
  6. Step 6: Final answer
    x = 2,136,663.04

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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.