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Finding the Third Proportional to 826,796 and 1,771,690

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Solution

The third proportional to 826,796 and 1,771,690 is: 3,796,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,796 : 1,771,690 = 1,771,690 : x
  2. Step 2: Convert to fraction form
    826,796/1,771,690 = 1,771,690/x
  3. Step 3: Cross multiply
    826,796x = 1,771,690 × 1,771,690
  4. Step 4: Simplify right side
    826,796x = 3,138,885,456,100
  5. Step 5: Solve for x
    x = 3,138,885,456,100/826,796
  6. Step 6: Final answer
    x = 3,796,444.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.