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Finding the Third Proportional to 737,690 and 1,618,228

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Solution

The third proportional to 737,690 and 1,618,228 is: 3,549,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,690 : 1,618,228 = 1,618,228 : x
  2. Step 2: Convert to fraction form
    737,690/1,618,228 = 1,618,228/x
  3. Step 3: Cross multiply
    737,690x = 1,618,228 × 1,618,228
  4. Step 4: Simplify right side
    737,690x = 2,618,661,859,984
  5. Step 5: Solve for x
    x = 2,618,661,859,984/737,690
  6. Step 6: Final answer
    x = 3,549,813.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.