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Finding the Third Proportional to 446,976 and 953,856

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Solution

The third proportional to 446,976 and 953,856 is: 2,035,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,976 : 953,856 = 953,856 : x
  2. Step 2: Convert to fraction form
    446,976/953,856 = 953,856/x
  3. Step 3: Cross multiply
    446,976x = 953,856 × 953,856
  4. Step 4: Simplify right side
    446,976x = 909,841,268,736
  5. Step 5: Solve for x
    x = 909,841,268,736/446,976
  6. Step 6: Final answer
    x = 2,035,548.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.