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Finding the Third Proportional to 1,292,201.25 and 1,900,983

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Solution

The third proportional to 1,292,201.25 and 1,900,983 is: 2,796,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,201.25 : 1,900,983 = 1,900,983 : x
  2. Step 2: Convert to fraction form
    1,292,201.25/1,900,983 = 1,900,983/x
  3. Step 3: Cross multiply
    1,292,201.25x = 1,900,983 × 1,900,983
  4. Step 4: Simplify right side
    1,292,201.25x = 3,613,736,366,289
  5. Step 5: Solve for x
    x = 3,613,736,366,289/1,292,201.25
  6. Step 6: Final answer
    x = 2,796,573.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.