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Finding the Third Proportional to 2,271,488 and 4,858,146

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Solution

The third proportional to 2,271,488 and 4,858,146 is: 10,390,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,488 : 4,858,146 = 4,858,146 : x
  2. Step 2: Convert to fraction form
    2,271,488/4,858,146 = 4,858,146/x
  3. Step 3: Cross multiply
    2,271,488x = 4,858,146 × 4,858,146
  4. Step 4: Simplify right side
    2,271,488x = 23,601,582,557,316
  5. Step 5: Solve for x
    x = 23,601,582,557,316/2,271,488
  6. Step 6: Final answer
    x = 10,390,361.98

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