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Finding the Third Proportional to 690,635.25 and 1,628,028

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Solution

The third proportional to 690,635.25 and 1,628,028 is: 3,837,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,635.25 : 1,628,028 = 1,628,028 : x
  2. Step 2: Convert to fraction form
    690,635.25/1,628,028 = 1,628,028/x
  3. Step 3: Cross multiply
    690,635.25x = 1,628,028 × 1,628,028
  4. Step 4: Simplify right side
    690,635.25x = 2,650,475,168,784
  5. Step 5: Solve for x
    x = 2,650,475,168,784/690,635.25
  6. Step 6: Final answer
    x = 3,837,735.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.