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Finding the Third Proportional to 906,744 and 1,976,288

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Solution

The third proportional to 906,744 and 1,976,288 is: 4,307,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,744 : 1,976,288 = 1,976,288 : x
  2. Step 2: Convert to fraction form
    906,744/1,976,288 = 1,976,288/x
  3. Step 3: Cross multiply
    906,744x = 1,976,288 × 1,976,288
  4. Step 4: Simplify right side
    906,744x = 3,905,714,258,944
  5. Step 5: Solve for x
    x = 3,905,714,258,944/906,744
  6. Step 6: Final answer
    x = 4,307,405.68

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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.