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Finding the Third Proportional to 2,232,243 and 4,845,024

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Solution

The third proportional to 2,232,243 and 4,845,024 is: 10,515,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232,243 : 4,845,024 = 4,845,024 : x
  2. Step 2: Convert to fraction form
    2,232,243/4,845,024 = 4,845,024/x
  3. Step 3: Cross multiply
    2,232,243x = 4,845,024 × 4,845,024
  4. Step 4: Simplify right side
    2,232,243x = 23,474,257,560,576
  5. Step 5: Solve for x
    x = 23,474,257,560,576/2,232,243
  6. Step 6: Final answer
    x = 10,515,995.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.