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Finding the Third Proportional to 1,994,121 and 4,349,142

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Solution

The third proportional to 1,994,121 and 4,349,142 is: 9,485,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,121 : 4,349,142 = 4,349,142 : x
  2. Step 2: Convert to fraction form
    1,994,121/4,349,142 = 4,349,142/x
  3. Step 3: Cross multiply
    1,994,121x = 4,349,142 × 4,349,142
  4. Step 4: Simplify right side
    1,994,121x = 18,915,036,136,164
  5. Step 5: Solve for x
    x = 18,915,036,136,164/1,994,121
  6. Step 6: Final answer
    x = 9,485,400.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.