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Finding the Third Proportional to 446,876 and 957,724

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Solution

The third proportional to 446,876 and 957,724 is: 2,052,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,876 : 957,724 = 957,724 : x
  2. Step 2: Convert to fraction form
    446,876/957,724 = 957,724/x
  3. Step 3: Cross multiply
    446,876x = 957,724 × 957,724
  4. Step 4: Simplify right side
    446,876x = 917,235,260,176
  5. Step 5: Solve for x
    x = 917,235,260,176/446,876
  6. Step 6: Final answer
    x = 2,052,549.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.