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Finding the Third Proportional to 3,189,460 and 6,821,504

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Solution

The third proportional to 3,189,460 and 6,821,504 is: 14,589,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189,460 : 6,821,504 = 6,821,504 : x
  2. Step 2: Convert to fraction form
    3,189,460/6,821,504 = 6,821,504/x
  3. Step 3: Cross multiply
    3,189,460x = 6,821,504 × 6,821,504
  4. Step 4: Simplify right side
    3,189,460x = 46,532,916,822,016
  5. Step 5: Solve for x
    x = 46,532,916,822,016/3,189,460
  6. Step 6: Final answer
    x = 14,589,590.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.