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Finding the Third Proportional to 1,159,420.39 and 1,524,632.31

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Solution

The third proportional to 1,159,420.39 and 1,524,632.31 is: 2,004,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,420.39 : 1,524,632.31 = 1,524,632.31 : x
  2. Step 2: Convert to fraction form
    1,159,420.39/1,524,632.31 = 1,524,632.31/x
  3. Step 3: Cross multiply
    1,159,420.39x = 1,524,632.31 × 1,524,632.31
  4. Step 4: Simplify right side
    1,159,420.39x = 2,324,503,676,408.06
  5. Step 5: Solve for x
    x = 2,324,503,676,408.06/1,159,420.39
  6. Step 6: Final answer
    x = 2,004,884.24

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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.