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Finding the Third Proportional to 472,837 and 1,026,052

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Solution

The third proportional to 472,837 and 1,026,052 is: 2,226,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,837 : 1,026,052 = 1,026,052 : x
  2. Step 2: Convert to fraction form
    472,837/1,026,052 = 1,026,052/x
  3. Step 3: Cross multiply
    472,837x = 1,026,052 × 1,026,052
  4. Step 4: Simplify right side
    472,837x = 1,052,782,706,704
  5. Step 5: Solve for x
    x = 1,052,782,706,704/472,837
  6. Step 6: Final answer
    x = 2,226,523.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.