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Finding the Third Proportional to 434,880 and 881,446

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Solution

The third proportional to 434,880 and 881,446 is: 1,786,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,880 : 881,446 = 881,446 : x
  2. Step 2: Convert to fraction form
    434,880/881,446 = 881,446/x
  3. Step 3: Cross multiply
    434,880x = 881,446 × 881,446
  4. Step 4: Simplify right side
    434,880x = 776,947,050,916
  5. Step 5: Solve for x
    x = 776,947,050,916/434,880
  6. Step 6: Final answer
    x = 1,786,578.02

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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.