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Finding the Third Proportional to 474,954 and 1,008,202

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Solution

The third proportional to 474,954 and 1,008,202 is: 2,140,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,954 : 1,008,202 = 1,008,202 : x
  2. Step 2: Convert to fraction form
    474,954/1,008,202 = 1,008,202/x
  3. Step 3: Cross multiply
    474,954x = 1,008,202 × 1,008,202
  4. Step 4: Simplify right side
    474,954x = 1,016,471,272,804
  5. Step 5: Solve for x
    x = 1,016,471,272,804/474,954
  6. Step 6: Final answer
    x = 2,140,146.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.