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Finding the Third Proportional to 471,840 and 1,026,624

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Solution

The third proportional to 471,840 and 1,026,624 is: 2,233,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,840 : 1,026,624 = 1,026,624 : x
  2. Step 2: Convert to fraction form
    471,840/1,026,624 = 1,026,624/x
  3. Step 3: Cross multiply
    471,840x = 1,026,624 × 1,026,624
  4. Step 4: Simplify right side
    471,840x = 1,053,956,837,376
  5. Step 5: Solve for x
    x = 1,053,956,837,376/471,840
  6. Step 6: Final answer
    x = 2,233,716.59

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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.