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Finding the Third Proportional to 446,510 and 976,851

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Solution

The third proportional to 446,510 and 976,851 is: 2,137,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,510 : 976,851 = 976,851 : x
  2. Step 2: Convert to fraction form
    446,510/976,851 = 976,851/x
  3. Step 3: Cross multiply
    446,510x = 976,851 × 976,851
  4. Step 4: Simplify right side
    446,510x = 954,237,876,201
  5. Step 5: Solve for x
    x = 954,237,876,201/446,510
  6. Step 6: Final answer
    x = 2,137,103.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.