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Finding the Third Proportional to 589,344 and 1,286,632

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Solution

The third proportional to 589,344 and 1,286,632 is: 2,808,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,344 : 1,286,632 = 1,286,632 : x
  2. Step 2: Convert to fraction form
    589,344/1,286,632 = 1,286,632/x
  3. Step 3: Cross multiply
    589,344x = 1,286,632 × 1,286,632
  4. Step 4: Simplify right side
    589,344x = 1,655,421,903,424
  5. Step 5: Solve for x
    x = 1,655,421,903,424/589,344
  6. Step 6: Final answer
    x = 2,808,922.98

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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.