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Finding the Third Proportional to 619,939 and 957,531

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Solution

The third proportional to 619,939 and 957,531 is: 1,478,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,939 : 957,531 = 957,531 : x
  2. Step 2: Convert to fraction form
    619,939/957,531 = 957,531/x
  3. Step 3: Cross multiply
    619,939x = 957,531 × 957,531
  4. Step 4: Simplify right side
    619,939x = 916,865,615,961
  5. Step 5: Solve for x
    x = 916,865,615,961/619,939
  6. Step 6: Final answer
    x = 1,478,961.02

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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.