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Finding the Third Proportional to 1,313,028 and 2,825,640

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Solution

The third proportional to 1,313,028 and 2,825,640 is: 6,080,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,028 : 2,825,640 = 2,825,640 : x
  2. Step 2: Convert to fraction form
    1,313,028/2,825,640 = 2,825,640/x
  3. Step 3: Cross multiply
    1,313,028x = 2,825,640 × 2,825,640
  4. Step 4: Simplify right side
    1,313,028x = 7,984,241,409,600
  5. Step 5: Solve for x
    x = 7,984,241,409,600/1,313,028
  6. Step 6: Final answer
    x = 6,080,785.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.