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Finding the Third Proportional to 456,938 and 1,004,974

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Solution

The third proportional to 456,938 and 1,004,974 is: 2,210,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,938 : 1,004,974 = 1,004,974 : x
  2. Step 2: Convert to fraction form
    456,938/1,004,974 = 1,004,974/x
  3. Step 3: Cross multiply
    456,938x = 1,004,974 × 1,004,974
  4. Step 4: Simplify right side
    456,938x = 1,009,972,740,676
  5. Step 5: Solve for x
    x = 1,009,972,740,676/456,938
  6. Step 6: Final answer
    x = 2,210,305.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.