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Finding the Third Proportional to 441,152 and 934,304

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Solution

The third proportional to 441,152 and 934,304 is: 1,978,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,152 : 934,304 = 934,304 : x
  2. Step 2: Convert to fraction form
    441,152/934,304 = 934,304/x
  3. Step 3: Cross multiply
    441,152x = 934,304 × 934,304
  4. Step 4: Simplify right side
    441,152x = 872,923,964,416
  5. Step 5: Solve for x
    x = 872,923,964,416/441,152
  6. Step 6: Final answer
    x = 1,978,737.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.