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Finding the Third Proportional to 1,381,000 and 2,953,880

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Solution

The third proportional to 1,381,000 and 2,953,880 is: 6,318,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,000 : 2,953,880 = 2,953,880 : x
  2. Step 2: Convert to fraction form
    1,381,000/2,953,880 = 2,953,880/x
  3. Step 3: Cross multiply
    1,381,000x = 2,953,880 × 2,953,880
  4. Step 4: Simplify right side
    1,381,000x = 8,725,407,054,400
  5. Step 5: Solve for x
    x = 8,725,407,054,400/1,381,000
  6. Step 6: Final answer
    x = 6,318,180.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.