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Finding the Third Proportional to 589,384 and 1,286,728

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Solution

The third proportional to 589,384 and 1,286,728 is: 2,809,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,384 : 1,286,728 = 1,286,728 : x
  2. Step 2: Convert to fraction form
    589,384/1,286,728 = 1,286,728/x
  3. Step 3: Cross multiply
    589,384x = 1,286,728 × 1,286,728
  4. Step 4: Simplify right side
    589,384x = 1,655,668,945,984
  5. Step 5: Solve for x
    x = 1,655,668,945,984/589,384
  6. Step 6: Final answer
    x = 2,809,151.50

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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.