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Finding the Third Proportional to 441,476 and 922,924.50

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Solution

The third proportional to 441,476 and 922,924.50 is: 1,929,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,476 : 922,924.50 = 922,924.50 : x
  2. Step 2: Convert to fraction form
    441,476/922,924.50 = 922,924.50/x
  3. Step 3: Cross multiply
    441,476x = 922,924.50 × 922,924.50
  4. Step 4: Simplify right side
    441,476x = 851,789,632,700.25
  5. Step 5: Solve for x
    x = 851,789,632,700.25/441,476
  6. Step 6: Final answer
    x = 1,929,413.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.