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Finding the Third Proportional to 634,171 and 981,533

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Solution

The third proportional to 634,171 and 981,533 is: 1,519,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,171 : 981,533 = 981,533 : x
  2. Step 2: Convert to fraction form
    634,171/981,533 = 981,533/x
  3. Step 3: Cross multiply
    634,171x = 981,533 × 981,533
  4. Step 4: Simplify right side
    634,171x = 963,407,030,089
  5. Step 5: Solve for x
    x = 963,407,030,089/634,171
  6. Step 6: Final answer
    x = 1,519,159.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.