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Finding the Third Proportional to 795,321 and 1,204,560

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Solution

The third proportional to 795,321 and 1,204,560 is: 1,824,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,321 : 1,204,560 = 1,204,560 : x
  2. Step 2: Convert to fraction form
    795,321/1,204,560 = 1,204,560/x
  3. Step 3: Cross multiply
    795,321x = 1,204,560 × 1,204,560
  4. Step 4: Simplify right side
    795,321x = 1,450,964,793,600
  5. Step 5: Solve for x
    x = 1,450,964,793,600/795,321
  6. Step 6: Final answer
    x = 1,824,376.31

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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.