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Finding the Third Proportional to 431,584 and 1,008,043

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Solution

The third proportional to 431,584 and 1,008,043 is: 2,354,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,584 : 1,008,043 = 1,008,043 : x
  2. Step 2: Convert to fraction form
    431,584/1,008,043 = 1,008,043/x
  3. Step 3: Cross multiply
    431,584x = 1,008,043 × 1,008,043
  4. Step 4: Simplify right side
    431,584x = 1,016,150,689,849
  5. Step 5: Solve for x
    x = 1,016,150,689,849/431,584
  6. Step 6: Final answer
    x = 2,354,467.94

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.