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Finding the Third Proportional to 434,882 and 881,450

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Solution

The third proportional to 434,882 and 881,450 is: 1,786,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,882 : 881,450 = 881,450 : x
  2. Step 2: Convert to fraction form
    434,882/881,450 = 881,450/x
  3. Step 3: Cross multiply
    434,882x = 881,450 × 881,450
  4. Step 4: Simplify right side
    434,882x = 776,954,102,500
  5. Step 5: Solve for x
    x = 776,954,102,500/434,882
  6. Step 6: Final answer
    x = 1,786,586.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.