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Finding the Third Proportional to 2,290,234.50 and 4,975,101

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Solution

The third proportional to 2,290,234.50 and 4,975,101 is: 10,807,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290,234.50 : 4,975,101 = 4,975,101 : x
  2. Step 2: Convert to fraction form
    2,290,234.50/4,975,101 = 4,975,101/x
  3. Step 3: Cross multiply
    2,290,234.50x = 4,975,101 × 4,975,101
  4. Step 4: Simplify right side
    2,290,234.50x = 24,751,629,960,201
  5. Step 5: Solve for x
    x = 24,751,629,960,201/2,290,234.50
  6. Step 6: Final answer
    x = 10,807,465.33

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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.