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Finding the Third Proportional to 455,732 and 981,586

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Solution

The third proportional to 455,732 and 981,586 is: 2,114,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,732 : 981,586 = 981,586 : x
  2. Step 2: Convert to fraction form
    455,732/981,586 = 981,586/x
  3. Step 3: Cross multiply
    455,732x = 981,586 × 981,586
  4. Step 4: Simplify right side
    455,732x = 963,511,075,396
  5. Step 5: Solve for x
    x = 963,511,075,396/455,732
  6. Step 6: Final answer
    x = 2,114,205.44

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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.