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Finding the Third Proportional to 446,826 and 963,636

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Solution

The third proportional to 446,826 and 963,636 is: 2,078,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,826 : 963,636 = 963,636 : x
  2. Step 2: Convert to fraction form
    446,826/963,636 = 963,636/x
  3. Step 3: Cross multiply
    446,826x = 963,636 × 963,636
  4. Step 4: Simplify right side
    446,826x = 928,594,340,496
  5. Step 5: Solve for x
    x = 928,594,340,496/446,826
  6. Step 6: Final answer
    x = 2,078,201.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.