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Finding the Third Proportional to 589,323 and 1,286,596

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Solution

The third proportional to 589,323 and 1,286,596 is: 2,808,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,323 : 1,286,596 = 1,286,596 : x
  2. Step 2: Convert to fraction form
    589,323/1,286,596 = 1,286,596/x
  3. Step 3: Cross multiply
    589,323x = 1,286,596 × 1,286,596
  4. Step 4: Simplify right side
    589,323x = 1,655,329,267,216
  5. Step 5: Solve for x
    x = 1,655,329,267,216/589,323
  6. Step 6: Final answer
    x = 2,808,865.88

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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.