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Finding the Third Proportional to 462,482 and 1,008,996

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Solution

The third proportional to 462,482 and 1,008,996 is: 2,201,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,482 : 1,008,996 = 1,008,996 : x
  2. Step 2: Convert to fraction form
    462,482/1,008,996 = 1,008,996/x
  3. Step 3: Cross multiply
    462,482x = 1,008,996 × 1,008,996
  4. Step 4: Simplify right side
    462,482x = 1,018,072,928,016
  5. Step 5: Solve for x
    x = 1,018,072,928,016/462,482
  6. Step 6: Final answer
    x = 2,201,324.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.