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Finding the Third Proportional to 445,743 and 972,729

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Solution

The third proportional to 445,743 and 972,729 is: 2,122,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,743 : 972,729 = 972,729 : x
  2. Step 2: Convert to fraction form
    445,743/972,729 = 972,729/x
  3. Step 3: Cross multiply
    445,743x = 972,729 × 972,729
  4. Step 4: Simplify right side
    445,743x = 946,201,707,441
  5. Step 5: Solve for x
    x = 946,201,707,441/445,743
  6. Step 6: Final answer
    x = 2,122,751.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.