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Finding the Third Proportional to 455,714 and 981,549

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Solution

The third proportional to 455,714 and 981,549 is: 2,114,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,714 : 981,549 = 981,549 : x
  2. Step 2: Convert to fraction form
    455,714/981,549 = 981,549/x
  3. Step 3: Cross multiply
    455,714x = 981,549 × 981,549
  4. Step 4: Simplify right side
    455,714x = 963,438,439,401
  5. Step 5: Solve for x
    x = 963,438,439,401/455,714
  6. Step 6: Final answer
    x = 2,114,129.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.