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Finding the Third Proportional to 856,256 and 1,333,406

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Solution

The third proportional to 856,256 and 1,333,406 is: 2,076,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,256 : 1,333,406 = 1,333,406 : x
  2. Step 2: Convert to fraction form
    856,256/1,333,406 = 1,333,406/x
  3. Step 3: Cross multiply
    856,256x = 1,333,406 × 1,333,406
  4. Step 4: Simplify right side
    856,256x = 1,777,971,560,836
  5. Step 5: Solve for x
    x = 1,777,971,560,836/856,256
  6. Step 6: Final answer
    x = 2,076,448.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.