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Finding the Third Proportional to 579,860 and 1,176,024

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Solution

The third proportional to 579,860 and 1,176,024 is: 2,385,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,860 : 1,176,024 = 1,176,024 : x
  2. Step 2: Convert to fraction form
    579,860/1,176,024 = 1,176,024/x
  3. Step 3: Cross multiply
    579,860x = 1,176,024 × 1,176,024
  4. Step 4: Simplify right side
    579,860x = 1,383,032,448,576
  5. Step 5: Solve for x
    x = 1,383,032,448,576/579,860
  6. Step 6: Final answer
    x = 2,385,114.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.