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Finding the Third Proportional to 441,262 and 963,442

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Solution

The third proportional to 441,262 and 963,442 is: 2,103,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,262 : 963,442 = 963,442 : x
  2. Step 2: Convert to fraction form
    441,262/963,442 = 963,442/x
  3. Step 3: Cross multiply
    441,262x = 963,442 × 963,442
  4. Step 4: Simplify right side
    441,262x = 928,220,487,364
  5. Step 5: Solve for x
    x = 928,220,487,364/441,262
  6. Step 6: Final answer
    x = 2,103,558.63

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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.