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Finding the Third Proportional to 431,514 and 957,348

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Solution

The third proportional to 431,514 and 957,348 is: 2,123,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,514 : 957,348 = 957,348 : x
  2. Step 2: Convert to fraction form
    431,514/957,348 = 957,348/x
  3. Step 3: Cross multiply
    431,514x = 957,348 × 957,348
  4. Step 4: Simplify right side
    431,514x = 916,515,193,104
  5. Step 5: Solve for x
    x = 916,515,193,104/431,514
  6. Step 6: Final answer
    x = 2,123,952.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.