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Finding the Third Proportional to 1,002,974 and 1,466,052

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Solution

The third proportional to 1,002,974 and 1,466,052 is: 2,142,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,974 : 1,466,052 = 1,466,052 : x
  2. Step 2: Convert to fraction form
    1,002,974/1,466,052 = 1,466,052/x
  3. Step 3: Cross multiply
    1,002,974x = 1,466,052 × 1,466,052
  4. Step 4: Simplify right side
    1,002,974x = 2,149,308,466,704
  5. Step 5: Solve for x
    x = 2,149,308,466,704/1,002,974
  6. Step 6: Final answer
    x = 2,142,935.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.