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Finding the Third Proportional to 492,820 and 1,008,968

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Solution

The third proportional to 492,820 and 1,008,968 is: 2,065,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,820 : 1,008,968 = 1,008,968 : x
  2. Step 2: Convert to fraction form
    492,820/1,008,968 = 1,008,968/x
  3. Step 3: Cross multiply
    492,820x = 1,008,968 × 1,008,968
  4. Step 4: Simplify right side
    492,820x = 1,018,016,425,024
  5. Step 5: Solve for x
    x = 1,018,016,425,024/492,820
  6. Step 6: Final answer
    x = 2,065,696.25

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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.