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Finding the Third Proportional to 3,810,080 and 5,431,323

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Solution

The third proportional to 3,810,080 and 5,431,323 is: 7,742,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,080 : 5,431,323 = 5,431,323 : x
  2. Step 2: Convert to fraction form
    3,810,080/5,431,323 = 5,431,323/x
  3. Step 3: Cross multiply
    3,810,080x = 5,431,323 × 5,431,323
  4. Step 4: Simplify right side
    3,810,080x = 29,499,269,530,329
  5. Step 5: Solve for x
    x = 29,499,269,530,329/3,810,080
  6. Step 6: Final answer
    x = 7,742,427.86

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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.