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Finding the Third Proportional to 4,289,300.25 and 6,534,452.25

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Solution

The third proportional to 4,289,300.25 and 6,534,452.25 is: 9,954,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289,300.25 : 6,534,452.25 = 6,534,452.25 : x
  2. Step 2: Convert to fraction form
    4,289,300.25/6,534,452.25 = 6,534,452.25/x
  3. Step 3: Cross multiply
    4,289,300.25x = 6,534,452.25 × 6,534,452.25
  4. Step 4: Simplify right side
    4,289,300.25x = 42,699,066,207,530.06
  5. Step 5: Solve for x
    x = 42,699,066,207,530.06/4,289,300.25
  6. Step 6: Final answer
    x = 9,954,786.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.