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Finding the Third Proportional to 446,838 and 957,638

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Solution

The third proportional to 446,838 and 957,638 is: 2,052,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,838 : 957,638 = 957,638 : x
  2. Step 2: Convert to fraction form
    446,838/957,638 = 957,638/x
  3. Step 3: Cross multiply
    446,838x = 957,638 × 957,638
  4. Step 4: Simplify right side
    446,838x = 917,070,539,044
  5. Step 5: Solve for x
    x = 917,070,539,044/446,838
  6. Step 6: Final answer
    x = 2,052,355.75

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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.