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Finding the Third Proportional to 638,597.25 and 981,853.88

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Solution

The third proportional to 638,597.25 and 981,853.88 is: 1,509,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,597.25 : 981,853.88 = 981,853.88 : x
  2. Step 2: Convert to fraction form
    638,597.25/981,853.88 = 981,853.88/x
  3. Step 3: Cross multiply
    638,597.25x = 981,853.88 × 981,853.88
  4. Step 4: Simplify right side
    638,597.25x = 964,037,031,852.52
  5. Step 5: Solve for x
    x = 964,037,031,852.52/638,597.25
  6. Step 6: Final answer
    x = 1,509,616.64

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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.