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Finding the Third Proportional to 446,742 and 963,463

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Solution

The third proportional to 446,742 and 963,463 is: 2,077,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,742 : 963,463 = 963,463 : x
  2. Step 2: Convert to fraction form
    446,742/963,463 = 963,463/x
  3. Step 3: Cross multiply
    446,742x = 963,463 × 963,463
  4. Step 4: Simplify right side
    446,742x = 928,260,952,369
  5. Step 5: Solve for x
    x = 928,260,952,369/446,742
  6. Step 6: Final answer
    x = 2,077,845.72

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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.