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Finding the Third Proportional to 795,326 and 1,204,566

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Solution

The third proportional to 795,326 and 1,204,566 is: 1,824,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,326 : 1,204,566 = 1,204,566 : x
  2. Step 2: Convert to fraction form
    795,326/1,204,566 = 1,204,566/x
  3. Step 3: Cross multiply
    795,326x = 1,204,566 × 1,204,566
  4. Step 4: Simplify right side
    795,326x = 1,450,979,248,356
  5. Step 5: Solve for x
    x = 1,450,979,248,356/795,326
  6. Step 6: Final answer
    x = 1,824,383.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.