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Finding the Third Proportional to 916,137 and 1,994,895

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Solution

The third proportional to 916,137 and 1,994,895 is: 4,343,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,137 : 1,994,895 = 1,994,895 : x
  2. Step 2: Convert to fraction form
    916,137/1,994,895 = 1,994,895/x
  3. Step 3: Cross multiply
    916,137x = 1,994,895 × 1,994,895
  4. Step 4: Simplify right side
    916,137x = 3,979,606,061,025
  5. Step 5: Solve for x
    x = 3,979,606,061,025/916,137
  6. Step 6: Final answer
    x = 4,343,898.41

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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.