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Finding the Third Proportional to 441,263 and 963,444

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Solution

The third proportional to 441,263 and 963,444 is: 2,103,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,263 : 963,444 = 963,444 : x
  2. Step 2: Convert to fraction form
    441,263/963,444 = 963,444/x
  3. Step 3: Cross multiply
    441,263x = 963,444 × 963,444
  4. Step 4: Simplify right side
    441,263x = 928,224,341,136
  5. Step 5: Solve for x
    x = 928,224,341,136/441,263
  6. Step 6: Final answer
    x = 2,103,562.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.