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Finding the Third Proportional to 589,334 and 1,283,670

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Solution

The third proportional to 589,334 and 1,283,670 is: 2,796,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,334 : 1,283,670 = 1,283,670 : x
  2. Step 2: Convert to fraction form
    589,334/1,283,670 = 1,283,670/x
  3. Step 3: Cross multiply
    589,334x = 1,283,670 × 1,283,670
  4. Step 4: Simplify right side
    589,334x = 1,647,808,668,900
  5. Step 5: Solve for x
    x = 1,647,808,668,900/589,334
  6. Step 6: Final answer
    x = 2,796,052.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.