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Finding the Third Proportional to 619,884 and 957,462

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Solution

The third proportional to 619,884 and 957,462 is: 1,478,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,884 : 957,462 = 957,462 : x
  2. Step 2: Convert to fraction form
    619,884/957,462 = 957,462/x
  3. Step 3: Cross multiply
    619,884x = 957,462 × 957,462
  4. Step 4: Simplify right side
    619,884x = 916,733,481,444
  5. Step 5: Solve for x
    x = 916,733,481,444/619,884
  6. Step 6: Final answer
    x = 1,478,879.08

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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.