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Finding the Third Proportional to 619,938 and 957,529

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Solution

The third proportional to 619,938 and 957,529 is: 1,478,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,938 : 957,529 = 957,529 : x
  2. Step 2: Convert to fraction form
    619,938/957,529 = 957,529/x
  3. Step 3: Cross multiply
    619,938x = 957,529 × 957,529
  4. Step 4: Simplify right side
    619,938x = 916,861,785,841
  5. Step 5: Solve for x
    x = 916,861,785,841/619,938
  6. Step 6: Final answer
    x = 1,478,957.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.