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Finding the Third Proportional to 834,512 and 1,133,600

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Solution

The third proportional to 834,512 and 1,133,600 is: 1,539,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,512 : 1,133,600 = 1,133,600 : x
  2. Step 2: Convert to fraction form
    834,512/1,133,600 = 1,133,600/x
  3. Step 3: Cross multiply
    834,512x = 1,133,600 × 1,133,600
  4. Step 4: Simplify right side
    834,512x = 1,285,048,960,000
  5. Step 5: Solve for x
    x = 1,285,048,960,000/834,512
  6. Step 6: Final answer
    x = 1,539,880.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.