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Finding the Third Proportional to 453,275 and 981,284

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Solution

The third proportional to 453,275 and 981,284 is: 2,124,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,275 : 981,284 = 981,284 : x
  2. Step 2: Convert to fraction form
    453,275/981,284 = 981,284/x
  3. Step 3: Cross multiply
    453,275x = 981,284 × 981,284
  4. Step 4: Simplify right side
    453,275x = 962,918,288,656
  5. Step 5: Solve for x
    x = 962,918,288,656/453,275
  6. Step 6: Final answer
    x = 2,124,357.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.