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Finding the Third Proportional to 512,714 and 1,104,283

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Solution

The third proportional to 512,714 and 1,104,283 is: 2,378,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,714 : 1,104,283 = 1,104,283 : x
  2. Step 2: Convert to fraction form
    512,714/1,104,283 = 1,104,283/x
  3. Step 3: Cross multiply
    512,714x = 1,104,283 × 1,104,283
  4. Step 4: Simplify right side
    512,714x = 1,219,440,944,089
  5. Step 5: Solve for x
    x = 1,219,440,944,089/512,714
  6. Step 6: Final answer
    x = 2,378,403.84

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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.