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Finding the Third Proportional to 456,057 and 971,172

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Solution

The third proportional to 456,057 and 971,172 is: 2,068,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,057 : 971,172 = 971,172 : x
  2. Step 2: Convert to fraction form
    456,057/971,172 = 971,172/x
  3. Step 3: Cross multiply
    456,057x = 971,172 × 971,172
  4. Step 4: Simplify right side
    456,057x = 943,175,053,584
  5. Step 5: Solve for x
    x = 943,175,053,584/456,057
  6. Step 6: Final answer
    x = 2,068,107.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.