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Finding the Third Proportional to 4,054,189.50 and 5,460,723

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Solution

The third proportional to 4,054,189.50 and 5,460,723 is: 7,355,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054,189.50 : 5,460,723 = 5,460,723 : x
  2. Step 2: Convert to fraction form
    4,054,189.50/5,460,723 = 5,460,723/x
  3. Step 3: Cross multiply
    4,054,189.50x = 5,460,723 × 5,460,723
  4. Step 4: Simplify right side
    4,054,189.50x = 29,819,495,682,729
  5. Step 5: Solve for x
    x = 29,819,495,682,729/4,054,189.50
  6. Step 6: Final answer
    x = 7,355,229.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.