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Finding the Third Proportional to 2,411,034.75 and 3,647,548.13

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Solution

The third proportional to 2,411,034.75 and 3,647,548.13 is: 5,518,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,034.75 : 3,647,548.13 = 3,647,548.13 : x
  2. Step 2: Convert to fraction form
    2,411,034.75/3,647,548.13 = 3,647,548.13/x
  3. Step 3: Cross multiply
    2,411,034.75x = 3,647,548.13 × 3,647,548.13
  4. Step 4: Simplify right side
    2,411,034.75x = 13,304,607,324,191.02
  5. Step 5: Solve for x
    x = 13,304,607,324,191.02/2,411,034.75
  6. Step 6: Final answer
    x = 5,518,214.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.