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Finding the Third Proportional to 667,000 and 1,460,492

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Solution

The third proportional to 667,000 and 1,460,492 is: 3,197,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,000 : 1,460,492 = 1,460,492 : x
  2. Step 2: Convert to fraction form
    667,000/1,460,492 = 1,460,492/x
  3. Step 3: Cross multiply
    667,000x = 1,460,492 × 1,460,492
  4. Step 4: Simplify right side
    667,000x = 2,133,036,882,064
  5. Step 5: Solve for x
    x = 2,133,036,882,064/667,000
  6. Step 6: Final answer
    x = 3,197,956.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.