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Finding the Third Proportional to 1,357,215.75 and 2,826,076.50

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Solution

The third proportional to 1,357,215.75 and 2,826,076.50 is: 5,884,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,215.75 : 2,826,076.50 = 2,826,076.50 : x
  2. Step 2: Convert to fraction form
    1,357,215.75/2,826,076.50 = 2,826,076.50/x
  3. Step 3: Cross multiply
    1,357,215.75x = 2,826,076.50 × 2,826,076.50
  4. Step 4: Simplify right side
    1,357,215.75x = 7,986,708,383,852.25
  5. Step 5: Solve for x
    x = 7,986,708,383,852.25/1,357,215.75
  6. Step 6: Final answer
    x = 5,884,626.95

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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.