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Finding the Third Proportional to 589,344 and 1,286,637

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Solution

The third proportional to 589,344 and 1,286,637 is: 2,808,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,344 : 1,286,637 = 1,286,637 : x
  2. Step 2: Convert to fraction form
    589,344/1,286,637 = 1,286,637/x
  3. Step 3: Cross multiply
    589,344x = 1,286,637 × 1,286,637
  4. Step 4: Simplify right side
    589,344x = 1,655,434,769,769
  5. Step 5: Solve for x
    x = 1,655,434,769,769/589,344
  6. Step 6: Final answer
    x = 2,808,944.81

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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.