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Finding the Third Proportional to 591,548 and 1,286,742

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Solution

The third proportional to 591,548 and 1,286,742 is: 2,798,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,548 : 1,286,742 = 1,286,742 : x
  2. Step 2: Convert to fraction form
    591,548/1,286,742 = 1,286,742/x
  3. Step 3: Cross multiply
    591,548x = 1,286,742 × 1,286,742
  4. Step 4: Simplify right side
    591,548x = 1,655,704,974,564
  5. Step 5: Solve for x
    x = 1,655,704,974,564/591,548
  6. Step 6: Final answer
    x = 2,798,935.97

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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.