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Finding the Third Proportional to 481,194 and 974,052

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Solution

The third proportional to 481,194 and 974,052 is: 1,971,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,194 : 974,052 = 974,052 : x
  2. Step 2: Convert to fraction form
    481,194/974,052 = 974,052/x
  3. Step 3: Cross multiply
    481,194x = 974,052 × 974,052
  4. Step 4: Simplify right side
    481,194x = 948,777,298,704
  5. Step 5: Solve for x
    x = 948,777,298,704/481,194
  6. Step 6: Final answer
    x = 1,971,714.73

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.