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Finding the Third Proportional to 2,992,597.31 and 4,643,279.44

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Solution

The third proportional to 2,992,597.31 and 4,643,279.44 is: 7,204,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,597.31 : 4,643,279.44 = 4,643,279.44 : x
  2. Step 2: Convert to fraction form
    2,992,597.31/4,643,279.44 = 4,643,279.44/x
  3. Step 3: Cross multiply
    2,992,597.31x = 4,643,279.44 × 4,643,279.44
  4. Step 4: Simplify right side
    2,992,597.31x = 21,560,043,934,710.32
  5. Step 5: Solve for x
    x = 21,560,043,934,710.32/2,992,597.31
  6. Step 6: Final answer
    x = 7,204,458.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.