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Finding the Third Proportional to 1,478,844 and 2,380,905

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Solution

The third proportional to 1,478,844 and 2,380,905 is: 3,833,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,844 : 2,380,905 = 2,380,905 : x
  2. Step 2: Convert to fraction form
    1,478,844/2,380,905 = 2,380,905/x
  3. Step 3: Cross multiply
    1,478,844x = 2,380,905 × 2,380,905
  4. Step 4: Simplify right side
    1,478,844x = 5,668,708,619,025
  5. Step 5: Solve for x
    x = 5,668,708,619,025/1,478,844
  6. Step 6: Final answer
    x = 3,833,202.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.