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Finding the Third Proportional to 476,326 and 1,027,434

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Solution

The third proportional to 476,326 and 1,027,434 is: 2,216,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,326 : 1,027,434 = 1,027,434 : x
  2. Step 2: Convert to fraction form
    476,326/1,027,434 = 1,027,434/x
  3. Step 3: Cross multiply
    476,326x = 1,027,434 × 1,027,434
  4. Step 4: Simplify right side
    476,326x = 1,055,620,624,356
  5. Step 5: Solve for x
    x = 1,055,620,624,356/476,326
  6. Step 6: Final answer
    x = 2,216,172.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.