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Finding the Third Proportional to 650,688.19 and 1,360,288.69

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Solution

The third proportional to 650,688.19 and 1,360,288.69 is: 2,843,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,688.19 : 1,360,288.69 = 1,360,288.69 : x
  2. Step 2: Convert to fraction form
    650,688.19/1,360,288.69 = 1,360,288.69/x
  3. Step 3: Cross multiply
    650,688.19x = 1,360,288.69 × 1,360,288.69
  4. Step 4: Simplify right side
    650,688.19x = 1,850,385,313,340.47
  5. Step 5: Solve for x
    x = 1,850,385,313,340.47/650,688.19
  6. Step 6: Final answer
    x = 2,843,735.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.