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Finding the Third Proportional to 2,099,271 and 4,578,396

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Solution

The third proportional to 2,099,271 and 4,578,396 is: 9,985,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,271 : 4,578,396 = 4,578,396 : x
  2. Step 2: Convert to fraction form
    2,099,271/4,578,396 = 4,578,396/x
  3. Step 3: Cross multiply
    2,099,271x = 4,578,396 × 4,578,396
  4. Step 4: Simplify right side
    2,099,271x = 20,961,709,932,816
  5. Step 5: Solve for x
    x = 20,961,709,932,816/2,099,271
  6. Step 6: Final answer
    x = 9,985,232.94

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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.