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Finding the Third Proportional to 1,347,662.25 and 2,035,527.75

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Solution

The third proportional to 1,347,662.25 and 2,035,527.75 is: 3,074,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,662.25 : 2,035,527.75 = 2,035,527.75 : x
  2. Step 2: Convert to fraction form
    1,347,662.25/2,035,527.75 = 2,035,527.75/x
  3. Step 3: Cross multiply
    1,347,662.25x = 2,035,527.75 × 2,035,527.75
  4. Step 4: Simplify right side
    1,347,662.25x = 4,143,373,221,020.06
  5. Step 5: Solve for x
    x = 4,143,373,221,020.06/1,347,662.25
  6. Step 6: Final answer
    x = 3,074,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.