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Finding the Third Proportional to 917,719.88 and 1,983,062.25

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Solution

The third proportional to 917,719.88 and 1,983,062.25 is: 4,285,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,719.88 : 1,983,062.25 = 1,983,062.25 : x
  2. Step 2: Convert to fraction form
    917,719.88/1,983,062.25 = 1,983,062.25/x
  3. Step 3: Cross multiply
    917,719.88x = 1,983,062.25 × 1,983,062.25
  4. Step 4: Simplify right side
    917,719.88x = 3,932,535,887,375.06
  5. Step 5: Solve for x
    x = 3,932,535,887,375.06/917,719.88
  6. Step 6: Final answer
    x = 4,285,115.75

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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.