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Finding the Third Proportional to 2,953,022 and 4,489,257

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Solution

The third proportional to 2,953,022 and 4,489,257 is: 6,824,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,022 : 4,489,257 = 4,489,257 : x
  2. Step 2: Convert to fraction form
    2,953,022/4,489,257 = 4,489,257/x
  3. Step 3: Cross multiply
    2,953,022x = 4,489,257 × 4,489,257
  4. Step 4: Simplify right side
    2,953,022x = 20,153,428,412,049
  5. Step 5: Solve for x
    x = 20,153,428,412,049/2,953,022
  6. Step 6: Final answer
    x = 6,824,679.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.