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Finding the Third Proportional to 721,277.25 and 1,562,245.13

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Solution

The third proportional to 721,277.25 and 1,562,245.13 is: 3,383,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,277.25 : 1,562,245.13 = 1,562,245.13 : x
  2. Step 2: Convert to fraction form
    721,277.25/1,562,245.13 = 1,562,245.13/x
  3. Step 3: Cross multiply
    721,277.25x = 1,562,245.13 × 1,562,245.13
  4. Step 4: Simplify right side
    721,277.25x = 2,440,609,830,586.27
  5. Step 5: Solve for x
    x = 2,440,609,830,586.27/721,277.25
  6. Step 6: Final answer
    x = 3,383,733.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.