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Finding the Third Proportional to 597,266 and 1,289,544

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Solution

The third proportional to 597,266 and 1,289,544 is: 2,784,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,266 : 1,289,544 = 1,289,544 : x
  2. Step 2: Convert to fraction form
    597,266/1,289,544 = 1,289,544/x
  3. Step 3: Cross multiply
    597,266x = 1,289,544 × 1,289,544
  4. Step 4: Simplify right side
    597,266x = 1,662,923,727,936
  5. Step 5: Solve for x
    x = 1,662,923,727,936/597,266
  6. Step 6: Final answer
    x = 2,784,226.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.