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Finding the Third Proportional to 2,397,398 and 4,262,294

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Solution

The third proportional to 2,397,398 and 4,262,294 is: 7,577,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,398 : 4,262,294 = 4,262,294 : x
  2. Step 2: Convert to fraction form
    2,397,398/4,262,294 = 4,262,294/x
  3. Step 3: Cross multiply
    2,397,398x = 4,262,294 × 4,262,294
  4. Step 4: Simplify right side
    2,397,398x = 18,167,150,142,436
  5. Step 5: Solve for x
    x = 18,167,150,142,436/2,397,398
  6. Step 6: Final answer
    x = 7,577,861.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.