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Finding the Third Proportional to 579,864 and 1,176,032

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Solution

The third proportional to 579,864 and 1,176,032 is: 2,385,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,864 : 1,176,032 = 1,176,032 : x
  2. Step 2: Convert to fraction form
    579,864/1,176,032 = 1,176,032/x
  3. Step 3: Cross multiply
    579,864x = 1,176,032 × 1,176,032
  4. Step 4: Simplify right side
    579,864x = 1,383,051,265,024
  5. Step 5: Solve for x
    x = 1,383,051,265,024/579,864
  6. Step 6: Final answer
    x = 2,385,130.42

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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.