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Finding the Third Proportional to 689,669.44 and 1,503,476.44

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Solution

The third proportional to 689,669.44 and 1,503,476.44 is: 3,277,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,669.44 : 1,503,476.44 = 1,503,476.44 : x
  2. Step 2: Convert to fraction form
    689,669.44/1,503,476.44 = 1,503,476.44/x
  3. Step 3: Cross multiply
    689,669.44x = 1,503,476.44 × 1,503,476.44
  4. Step 4: Simplify right side
    689,669.44x = 2,260,441,398,117.69
  5. Step 5: Solve for x
    x = 2,260,441,398,117.69/689,669.44
  6. Step 6: Final answer
    x = 3,277,572.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.