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Finding the Third Proportional to 579,851 and 1,176,006

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Solution

The third proportional to 579,851 and 1,176,006 is: 2,385,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,851 : 1,176,006 = 1,176,006 : x
  2. Step 2: Convert to fraction form
    579,851/1,176,006 = 1,176,006/x
  3. Step 3: Cross multiply
    579,851x = 1,176,006 × 1,176,006
  4. Step 4: Simplify right side
    579,851x = 1,382,990,112,036
  5. Step 5: Solve for x
    x = 1,382,990,112,036/579,851
  6. Step 6: Final answer
    x = 2,385,078.43

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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.