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Finding the Third Proportional to 820,137 and 1,775,058

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Solution

The third proportional to 820,137 and 1,775,058 is: 3,841,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,137 : 1,775,058 = 1,775,058 : x
  2. Step 2: Convert to fraction form
    820,137/1,775,058 = 1,775,058/x
  3. Step 3: Cross multiply
    820,137x = 1,775,058 × 1,775,058
  4. Step 4: Simplify right side
    820,137x = 3,150,830,903,364
  5. Step 5: Solve for x
    x = 3,150,830,903,364/820,137
  6. Step 6: Final answer
    x = 3,841,834.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.