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Finding the Third Proportional to 2,698,236 and 5,746,041

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Solution

The third proportional to 2,698,236 and 5,746,041 is: 12,236,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,236 : 5,746,041 = 5,746,041 : x
  2. Step 2: Convert to fraction form
    2,698,236/5,746,041 = 5,746,041/x
  3. Step 3: Cross multiply
    2,698,236x = 5,746,041 × 5,746,041
  4. Step 4: Simplify right side
    2,698,236x = 33,016,987,173,681
  5. Step 5: Solve for x
    x = 33,016,987,173,681/2,698,236
  6. Step 6: Final answer
    x = 12,236,508.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.