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Finding the Third Proportional to 442,041 and 965,052

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Solution

The third proportional to 442,041 and 965,052 is: 2,106,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,041 : 965,052 = 965,052 : x
  2. Step 2: Convert to fraction form
    442,041/965,052 = 965,052/x
  3. Step 3: Cross multiply
    442,041x = 965,052 × 965,052
  4. Step 4: Simplify right side
    442,041x = 931,325,362,704
  5. Step 5: Solve for x
    x = 931,325,362,704/442,041
  6. Step 6: Final answer
    x = 2,106,875.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.