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Finding the Third Proportional to 639,532 and 984,162

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Solution

The third proportional to 639,532 and 984,162 is: 1,514,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,532 : 984,162 = 984,162 : x
  2. Step 2: Convert to fraction form
    639,532/984,162 = 984,162/x
  3. Step 3: Cross multiply
    639,532x = 984,162 × 984,162
  4. Step 4: Simplify right side
    639,532x = 968,574,842,244
  5. Step 5: Solve for x
    x = 968,574,842,244/639,532
  6. Step 6: Final answer
    x = 1,514,505.67

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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.