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Finding the Third Proportional to 467,938 and 958,052

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Solution

The third proportional to 467,938 and 958,052 is: 1,961,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,938 : 958,052 = 958,052 : x
  2. Step 2: Convert to fraction form
    467,938/958,052 = 958,052/x
  3. Step 3: Cross multiply
    467,938x = 958,052 × 958,052
  4. Step 4: Simplify right side
    467,938x = 917,863,634,704
  5. Step 5: Solve for x
    x = 917,863,634,704/467,938
  6. Step 6: Final answer
    x = 1,961,506.94

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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.