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Finding the Third Proportional to 3,810,081.38 and 5,431,325.06

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Solution

The third proportional to 3,810,081.38 and 5,431,325.06 is: 7,742,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,081.38 : 5,431,325.06 = 5,431,325.06 : x
  2. Step 2: Convert to fraction form
    3,810,081.38/5,431,325.06 = 5,431,325.06/x
  3. Step 3: Cross multiply
    3,810,081.38x = 5,431,325.06 × 5,431,325.06
  4. Step 4: Simplify right side
    3,810,081.38x = 29,499,291,934,540.63
  5. Step 5: Solve for x
    x = 29,499,291,934,540.63/3,810,081.38
  6. Step 6: Final answer
    x = 7,742,430.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.