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Finding the Third Proportional to 2,097,072 and 4,500,000

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Solution

The third proportional to 2,097,072 and 4,500,000 is: 9,656,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,072 : 4,500,000 = 4,500,000 : x
  2. Step 2: Convert to fraction form
    2,097,072/4,500,000 = 4,500,000/x
  3. Step 3: Cross multiply
    2,097,072x = 4,500,000 × 4,500,000
  4. Step 4: Simplify right side
    2,097,072x = 20,250,000,000,000
  5. Step 5: Solve for x
    x = 20,250,000,000,000/2,097,072
  6. Step 6: Final answer
    x = 9,656,320.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.