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Finding the Third Proportional to 446,732 and 963,448

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Solution

The third proportional to 446,732 and 963,448 is: 2,077,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,732 : 963,448 = 963,448 : x
  2. Step 2: Convert to fraction form
    446,732/963,448 = 963,448/x
  3. Step 3: Cross multiply
    446,732x = 963,448 × 963,448
  4. Step 4: Simplify right side
    446,732x = 928,232,048,704
  5. Step 5: Solve for x
    x = 928,232,048,704/446,732
  6. Step 6: Final answer
    x = 2,077,827.53

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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.