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Finding the Third Proportional to 2,894,166 and 4,257,414

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Solution

The third proportional to 2,894,166 and 4,257,414 is: 6,262,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,166 : 4,257,414 = 4,257,414 : x
  2. Step 2: Convert to fraction form
    2,894,166/4,257,414 = 4,257,414/x
  3. Step 3: Cross multiply
    2,894,166x = 4,257,414 × 4,257,414
  4. Step 4: Simplify right side
    2,894,166x = 18,125,573,967,396
  5. Step 5: Solve for x
    x = 18,125,573,967,396/2,894,166
  6. Step 6: Final answer
    x = 6,262,796.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.