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Finding the Third Proportional to 451,053.56 and 972,622.69

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Solution

The third proportional to 451,053.56 and 972,622.69 is: 2,097,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,053.56 : 972,622.69 = 972,622.69 : x
  2. Step 2: Convert to fraction form
    451,053.56/972,622.69 = 972,622.69/x
  3. Step 3: Cross multiply
    451,053.56x = 972,622.69 × 972,622.69
  4. Step 4: Simplify right side
    451,053.56x = 945,994,892,239.72
  5. Step 5: Solve for x
    x = 945,994,892,239.72/451,053.56
  6. Step 6: Final answer
    x = 2,097,300.57

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