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Finding the Third Proportional to 2,278,272 and 4,851,024

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Solution

The third proportional to 2,278,272 and 4,851,024 is: 10,329,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,272 : 4,851,024 = 4,851,024 : x
  2. Step 2: Convert to fraction form
    2,278,272/4,851,024 = 4,851,024/x
  3. Step 3: Cross multiply
    2,278,272x = 4,851,024 × 4,851,024
  4. Step 4: Simplify right side
    2,278,272x = 23,532,433,848,576
  5. Step 5: Solve for x
    x = 23,532,433,848,576/2,278,272
  6. Step 6: Final answer
    x = 10,329,071.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.