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Finding the Third Proportional to 1,797,830.25 and 3,862,467.38

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Solution

The third proportional to 1,797,830.25 and 3,862,467.38 is: 8,298,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797,830.25 : 3,862,467.38 = 3,862,467.38 : x
  2. Step 2: Convert to fraction form
    1,797,830.25/3,862,467.38 = 3,862,467.38/x
  3. Step 3: Cross multiply
    1,797,830.25x = 3,862,467.38 × 3,862,467.38
  4. Step 4: Simplify right side
    1,797,830.25x = 14,918,654,222,939.39
  5. Step 5: Solve for x
    x = 14,918,654,222,939.39/1,797,830.25
  6. Step 6: Final answer
    x = 8,298,143.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.