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Finding the Third Proportional to 589,322 and 1,286,594

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Solution

The third proportional to 589,322 and 1,286,594 is: 2,808,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,322 : 1,286,594 = 1,286,594 : x
  2. Step 2: Convert to fraction form
    589,322/1,286,594 = 1,286,594/x
  3. Step 3: Cross multiply
    589,322x = 1,286,594 × 1,286,594
  4. Step 4: Simplify right side
    589,322x = 1,655,324,120,836
  5. Step 5: Solve for x
    x = 1,655,324,120,836/589,322
  6. Step 6: Final answer
    x = 2,808,861.91

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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.