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Finding the Third Proportional to 949,112 and 1,976,956

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Solution

The third proportional to 949,112 and 1,976,956 is: 4,117,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,112 : 1,976,956 = 1,976,956 : x
  2. Step 2: Convert to fraction form
    949,112/1,976,956 = 1,976,956/x
  3. Step 3: Cross multiply
    949,112x = 1,976,956 × 1,976,956
  4. Step 4: Simplify right side
    949,112x = 3,908,355,025,936
  5. Step 5: Solve for x
    x = 3,908,355,025,936/949,112
  6. Step 6: Final answer
    x = 4,117,907.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.