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Finding the Third Proportional to 1,928,534 and 4,147,296

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Solution

The third proportional to 1,928,534 and 4,147,296 is: 8,918,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,534 : 4,147,296 = 4,147,296 : x
  2. Step 2: Convert to fraction form
    1,928,534/4,147,296 = 4,147,296/x
  3. Step 3: Cross multiply
    1,928,534x = 4,147,296 × 4,147,296
  4. Step 4: Simplify right side
    1,928,534x = 17,200,064,111,616
  5. Step 5: Solve for x
    x = 17,200,064,111,616/1,928,534
  6. Step 6: Final answer
    x = 8,918,724.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.