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Finding the Third Proportional to 2,099,245 and 4,578,343

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Solution

The third proportional to 2,099,245 and 4,578,343 is: 9,985,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,245 : 4,578,343 = 4,578,343 : x
  2. Step 2: Convert to fraction form
    2,099,245/4,578,343 = 4,578,343/x
  3. Step 3: Cross multiply
    2,099,245x = 4,578,343 × 4,578,343
  4. Step 4: Simplify right side
    2,099,245x = 20,961,224,625,649
  5. Step 5: Solve for x
    x = 20,961,224,625,649/2,099,245
  6. Step 6: Final answer
    x = 9,985,125.43

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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.