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Finding the Third Proportional to 446,727 and 963,441

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Solution

The third proportional to 446,727 and 963,441 is: 2,077,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,727 : 963,441 = 963,441 : x
  2. Step 2: Convert to fraction form
    446,727/963,441 = 963,441/x
  3. Step 3: Cross multiply
    446,727x = 963,441 × 963,441
  4. Step 4: Simplify right side
    446,727x = 928,218,560,481
  5. Step 5: Solve for x
    x = 928,218,560,481/446,727
  6. Step 6: Final answer
    x = 2,077,820.59

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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.