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Finding the Third Proportional to 1,493,828 and 2,296,112

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Solution

The third proportional to 1,493,828 and 2,296,112 is: 3,529,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,828 : 2,296,112 = 2,296,112 : x
  2. Step 2: Convert to fraction form
    1,493,828/2,296,112 = 2,296,112/x
  3. Step 3: Cross multiply
    1,493,828x = 2,296,112 × 2,296,112
  4. Step 4: Simplify right side
    1,493,828x = 5,272,130,316,544
  5. Step 5: Solve for x
    x = 5,272,130,316,544/1,493,828
  6. Step 6: Final answer
    x = 3,529,275.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.