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Finding the Third Proportional to 579,850 and 1,176,004

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Solution

The third proportional to 579,850 and 1,176,004 is: 2,385,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,850 : 1,176,004 = 1,176,004 : x
  2. Step 2: Convert to fraction form
    579,850/1,176,004 = 1,176,004/x
  3. Step 3: Cross multiply
    579,850x = 1,176,004 × 1,176,004
  4. Step 4: Simplify right side
    579,850x = 1,382,985,408,016
  5. Step 5: Solve for x
    x = 1,382,985,408,016/579,850
  6. Step 6: Final answer
    x = 2,385,074.43

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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.