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Finding the Third Proportional to 545,686 and 1,286,339

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Solution

The third proportional to 545,686 and 1,286,339 is: 3,032,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,686 : 1,286,339 = 1,286,339 : x
  2. Step 2: Convert to fraction form
    545,686/1,286,339 = 1,286,339/x
  3. Step 3: Cross multiply
    545,686x = 1,286,339 × 1,286,339
  4. Step 4: Simplify right side
    545,686x = 1,654,668,022,921
  5. Step 5: Solve for x
    x = 1,654,668,022,921/545,686
  6. Step 6: Final answer
    x = 3,032,271.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.