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Finding the Third Proportional to 482,535 and 1,031,322

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Solution

The third proportional to 482,535 and 1,031,322 is: 2,204,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,535 : 1,031,322 = 1,031,322 : x
  2. Step 2: Convert to fraction form
    482,535/1,031,322 = 1,031,322/x
  3. Step 3: Cross multiply
    482,535x = 1,031,322 × 1,031,322
  4. Step 4: Simplify right side
    482,535x = 1,063,625,067,684
  5. Step 5: Solve for x
    x = 1,063,625,067,684/482,535
  6. Step 6: Final answer
    x = 2,204,244.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.