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Finding the Third Proportional to 2,299,824 and 4,837,968

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Solution

The third proportional to 2,299,824 and 4,837,968 is: 10,177,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,824 : 4,837,968 = 4,837,968 : x
  2. Step 2: Convert to fraction form
    2,299,824/4,837,968 = 4,837,968/x
  3. Step 3: Cross multiply
    2,299,824x = 4,837,968 × 4,837,968
  4. Step 4: Simplify right side
    2,299,824x = 23,405,934,369,024
  5. Step 5: Solve for x
    x = 23,405,934,369,024/2,299,824
  6. Step 6: Final answer
    x = 10,177,271.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.