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Finding the Third Proportional to 3,201,589.13 and 4,203,430.88

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Solution

The third proportional to 3,201,589.13 and 4,203,430.88 is: 5,518,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,589.13 : 4,203,430.88 = 4,203,430.88 : x
  2. Step 2: Convert to fraction form
    3,201,589.13/4,203,430.88 = 4,203,430.88/x
  3. Step 3: Cross multiply
    3,201,589.13x = 4,203,430.88 × 4,203,430.88
  4. Step 4: Simplify right side
    3,201,589.13x = 17,668,831,120,903.27
  5. Step 5: Solve for x
    x = 17,668,831,120,903.27/3,201,589.13
  6. Step 6: Final answer
    x = 5,518,769.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.