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Finding the Third Proportional to 634,173 and 981,536

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Solution

The third proportional to 634,173 and 981,536 is: 1,519,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,173 : 981,536 = 981,536 : x
  2. Step 2: Convert to fraction form
    634,173/981,536 = 981,536/x
  3. Step 3: Cross multiply
    634,173x = 981,536 × 981,536
  4. Step 4: Simplify right side
    634,173x = 963,412,919,296
  5. Step 5: Solve for x
    x = 963,412,919,296/634,173
  6. Step 6: Final answer
    x = 1,519,164.20

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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.