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Finding the Third Proportional to 766,827 and 1,612,971

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Solution

The third proportional to 766,827 and 1,612,971 is: 3,392,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,827 : 1,612,971 = 1,612,971 : x
  2. Step 2: Convert to fraction form
    766,827/1,612,971 = 1,612,971/x
  3. Step 3: Cross multiply
    766,827x = 1,612,971 × 1,612,971
  4. Step 4: Simplify right side
    766,827x = 2,601,675,446,841
  5. Step 5: Solve for x
    x = 2,601,675,446,841/766,827
  6. Step 6: Final answer
    x = 3,392,780.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.