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Finding the Third Proportional to 434,990 and 922,203

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Solution

The third proportional to 434,990 and 922,203 is: 1,955,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,990 : 922,203 = 922,203 : x
  2. Step 2: Convert to fraction form
    434,990/922,203 = 922,203/x
  3. Step 3: Cross multiply
    434,990x = 922,203 × 922,203
  4. Step 4: Simplify right side
    434,990x = 850,458,373,209
  5. Step 5: Solve for x
    x = 850,458,373,209/434,990
  6. Step 6: Final answer
    x = 1,955,121.67

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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.