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Finding the Third Proportional to 776,532 and 1,590,704

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Solution

The third proportional to 776,532 and 1,590,704 is: 3,258,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,532 : 1,590,704 = 1,590,704 : x
  2. Step 2: Convert to fraction form
    776,532/1,590,704 = 1,590,704/x
  3. Step 3: Cross multiply
    776,532x = 1,590,704 × 1,590,704
  4. Step 4: Simplify right side
    776,532x = 2,530,339,215,616
  5. Step 5: Solve for x
    x = 2,530,339,215,616/776,532
  6. Step 6: Final answer
    x = 3,258,512.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.