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Finding the Third Proportional to 2,715,840 and 5,953,968

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Solution

The third proportional to 2,715,840 and 5,953,968 is: 13,052,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715,840 : 5,953,968 = 5,953,968 : x
  2. Step 2: Convert to fraction form
    2,715,840/5,953,968 = 5,953,968/x
  3. Step 3: Cross multiply
    2,715,840x = 5,953,968 × 5,953,968
  4. Step 4: Simplify right side
    2,715,840x = 35,449,734,945,024
  5. Step 5: Solve for x
    x = 35,449,734,945,024/2,715,840
  6. Step 6: Final answer
    x = 13,052,954.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.