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Finding the Third Proportional to 454,121.44 and 1,070,490.94

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Solution

The third proportional to 454,121.44 and 1,070,490.94 is: 2,523,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,121.44 : 1,070,490.94 = 1,070,490.94 : x
  2. Step 2: Convert to fraction form
    454,121.44/1,070,490.94 = 1,070,490.94/x
  3. Step 3: Cross multiply
    454,121.44x = 1,070,490.94 × 1,070,490.94
  4. Step 4: Simplify right side
    454,121.44x = 1,145,950,847,269.63
  5. Step 5: Solve for x
    x = 1,145,950,847,269.63/454,121.44
  6. Step 6: Final answer
    x = 2,523,445.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.