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Finding the Third Proportional to 881,429 and 1,978,570

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Solution

The third proportional to 881,429 and 1,978,570 is: 4,441,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,429 : 1,978,570 = 1,978,570 : x
  2. Step 2: Convert to fraction form
    881,429/1,978,570 = 1,978,570/x
  3. Step 3: Cross multiply
    881,429x = 1,978,570 × 1,978,570
  4. Step 4: Simplify right side
    881,429x = 3,914,739,244,900
  5. Step 5: Solve for x
    x = 3,914,739,244,900/881,429
  6. Step 6: Final answer
    x = 4,441,355.17

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.