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Finding the Third Proportional to 2,992,598 and 4,643,277

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Solution

The third proportional to 2,992,598 and 4,643,277 is: 7,204,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,598 : 4,643,277 = 4,643,277 : x
  2. Step 2: Convert to fraction form
    2,992,598/4,643,277 = 4,643,277/x
  3. Step 3: Cross multiply
    2,992,598x = 4,643,277 × 4,643,277
  4. Step 4: Simplify right side
    2,992,598x = 21,560,021,298,729
  5. Step 5: Solve for x
    x = 21,560,021,298,729/2,992,598
  6. Step 6: Final answer
    x = 7,204,449.54

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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.