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Finding the Third Proportional to 815,120 and 1,796,128

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Solution

The third proportional to 815,120 and 1,796,128 is: 3,957,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,120 : 1,796,128 = 1,796,128 : x
  2. Step 2: Convert to fraction form
    815,120/1,796,128 = 1,796,128/x
  3. Step 3: Cross multiply
    815,120x = 1,796,128 × 1,796,128
  4. Step 4: Simplify right side
    815,120x = 3,226,075,792,384
  5. Step 5: Solve for x
    x = 3,226,075,792,384/815,120
  6. Step 6: Final answer
    x = 3,957,792.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.