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Finding the Third Proportional to 892,207 and 1,271,880

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Solution

The third proportional to 892,207 and 1,271,880 is: 1,813,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,207 : 1,271,880 = 1,271,880 : x
  2. Step 2: Convert to fraction form
    892,207/1,271,880 = 1,271,880/x
  3. Step 3: Cross multiply
    892,207x = 1,271,880 × 1,271,880
  4. Step 4: Simplify right side
    892,207x = 1,617,678,734,400
  5. Step 5: Solve for x
    x = 1,617,678,734,400/892,207
  6. Step 6: Final answer
    x = 1,813,120.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.