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Finding the Third Proportional to 579,868 and 1,176,040

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Solution

The third proportional to 579,868 and 1,176,040 is: 2,385,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,868 : 1,176,040 = 1,176,040 : x
  2. Step 2: Convert to fraction form
    579,868/1,176,040 = 1,176,040/x
  3. Step 3: Cross multiply
    579,868x = 1,176,040 × 1,176,040
  4. Step 4: Simplify right side
    579,868x = 1,383,070,081,600
  5. Step 5: Solve for x
    x = 1,383,070,081,600/579,868
  6. Step 6: Final answer
    x = 2,385,146.42

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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.