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Finding the Third Proportional to 455,725 and 981,569

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Solution

The third proportional to 455,725 and 981,569 is: 2,114,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,725 : 981,569 = 981,569 : x
  2. Step 2: Convert to fraction form
    455,725/981,569 = 981,569/x
  3. Step 3: Cross multiply
    455,725x = 981,569 × 981,569
  4. Step 4: Simplify right side
    455,725x = 963,477,701,761
  5. Step 5: Solve for x
    x = 963,477,701,761/455,725
  6. Step 6: Final answer
    x = 2,114,164.69

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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.