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Finding the Third Proportional to 498,692 and 1,097,014

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Solution

The third proportional to 498,692 and 1,097,014 is: 2,413,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,692 : 1,097,014 = 1,097,014 : x
  2. Step 2: Convert to fraction form
    498,692/1,097,014 = 1,097,014/x
  3. Step 3: Cross multiply
    498,692x = 1,097,014 × 1,097,014
  4. Step 4: Simplify right side
    498,692x = 1,203,439,716,196
  5. Step 5: Solve for x
    x = 1,203,439,716,196/498,692
  6. Step 6: Final answer
    x = 2,413,192.34

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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.