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Finding the Third Proportional to 2,054,024 and 4,432,817

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Solution

The third proportional to 2,054,024 and 4,432,817 is: 9,566,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,024 : 4,432,817 = 4,432,817 : x
  2. Step 2: Convert to fraction form
    2,054,024/4,432,817 = 4,432,817/x
  3. Step 3: Cross multiply
    2,054,024x = 4,432,817 × 4,432,817
  4. Step 4: Simplify right side
    2,054,024x = 19,649,866,555,489
  5. Step 5: Solve for x
    x = 19,649,866,555,489/2,054,024
  6. Step 6: Final answer
    x = 9,566,522.38

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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.