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Finding the Third Proportional to 492,958 and 1,009,268

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Solution

The third proportional to 492,958 and 1,009,268 is: 2,066,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,958 : 1,009,268 = 1,009,268 : x
  2. Step 2: Convert to fraction form
    492,958/1,009,268 = 1,009,268/x
  3. Step 3: Cross multiply
    492,958x = 1,009,268 × 1,009,268
  4. Step 4: Simplify right side
    492,958x = 1,018,621,895,824
  5. Step 5: Solve for x
    x = 1,018,621,895,824/492,958
  6. Step 6: Final answer
    x = 2,066,346.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.