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Finding the Third Proportional to 441,424 and 963,040

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Solution

The third proportional to 441,424 and 963,040 is: 2,101,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,424 : 963,040 = 963,040 : x
  2. Step 2: Convert to fraction form
    441,424/963,040 = 963,040/x
  3. Step 3: Cross multiply
    441,424x = 963,040 × 963,040
  4. Step 4: Simplify right side
    441,424x = 927,446,041,600
  5. Step 5: Solve for x
    x = 927,446,041,600/441,424
  6. Step 6: Final answer
    x = 2,101,032.21

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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.