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Finding the Third Proportional to 2,959,416 and 4,431,024

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Solution

The third proportional to 2,959,416 and 4,431,024 is: 6,634,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,416 : 4,431,024 = 4,431,024 : x
  2. Step 2: Convert to fraction form
    2,959,416/4,431,024 = 4,431,024/x
  3. Step 3: Cross multiply
    2,959,416x = 4,431,024 × 4,431,024
  4. Step 4: Simplify right side
    2,959,416x = 19,633,973,688,576
  5. Step 5: Solve for x
    x = 19,633,973,688,576/2,959,416
  6. Step 6: Final answer
    x = 6,634,408.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.