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Finding the Third Proportional to 471,996 and 1,019,376

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Solution

The third proportional to 471,996 and 1,019,376 is: 2,201,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,996 : 1,019,376 = 1,019,376 : x
  2. Step 2: Convert to fraction form
    471,996/1,019,376 = 1,019,376/x
  3. Step 3: Cross multiply
    471,996x = 1,019,376 × 1,019,376
  4. Step 4: Simplify right side
    471,996x = 1,039,127,429,376
  5. Step 5: Solve for x
    x = 1,039,127,429,376/471,996
  6. Step 6: Final answer
    x = 2,201,559.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.