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Finding the Third Proportional to 589,305 and 1,286,561

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Solution

The third proportional to 589,305 and 1,286,561 is: 2,808,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,305 : 1,286,561 = 1,286,561 : x
  2. Step 2: Convert to fraction form
    589,305/1,286,561 = 1,286,561/x
  3. Step 3: Cross multiply
    589,305x = 1,286,561 × 1,286,561
  4. Step 4: Simplify right side
    589,305x = 1,655,239,206,721
  5. Step 5: Solve for x
    x = 1,655,239,206,721/589,305
  6. Step 6: Final answer
    x = 2,808,798.85

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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.