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Finding the Third Proportional to 424,952 and 919,600

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Solution

The third proportional to 424,952 and 919,600 is: 1,990,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,952 : 919,600 = 919,600 : x
  2. Step 2: Convert to fraction form
    424,952/919,600 = 919,600/x
  3. Step 3: Cross multiply
    424,952x = 919,600 × 919,600
  4. Step 4: Simplify right side
    424,952x = 845,664,160,000
  5. Step 5: Solve for x
    x = 845,664,160,000/424,952
  6. Step 6: Final answer
    x = 1,990,022.78

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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.