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Finding the Third Proportional to 446,311 and 928,721

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Solution

The third proportional to 446,311 and 928,721 is: 1,932,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,311 : 928,721 = 928,721 : x
  2. Step 2: Convert to fraction form
    446,311/928,721 = 928,721/x
  3. Step 3: Cross multiply
    446,311x = 928,721 × 928,721
  4. Step 4: Simplify right side
    446,311x = 862,522,695,841
  5. Step 5: Solve for x
    x = 862,522,695,841/446,311
  6. Step 6: Final answer
    x = 1,932,559.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.