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Finding the Third Proportional to 2,147,019 and 4,630,314

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Solution

The third proportional to 2,147,019 and 4,630,314 is: 9,985,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,019 : 4,630,314 = 4,630,314 : x
  2. Step 2: Convert to fraction form
    2,147,019/4,630,314 = 4,630,314/x
  3. Step 3: Cross multiply
    2,147,019x = 4,630,314 × 4,630,314
  4. Step 4: Simplify right side
    2,147,019x = 21,439,807,738,596
  5. Step 5: Solve for x
    x = 21,439,807,738,596/2,147,019
  6. Step 6: Final answer
    x = 9,985,849.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.