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Finding the Third Proportional to 737,692 and 1,618,232

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Solution

The third proportional to 737,692 and 1,618,232 is: 3,549,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,692 : 1,618,232 = 1,618,232 : x
  2. Step 2: Convert to fraction form
    737,692/1,618,232 = 1,618,232/x
  3. Step 3: Cross multiply
    737,692x = 1,618,232 × 1,618,232
  4. Step 4: Simplify right side
    737,692x = 2,618,674,805,824
  5. Step 5: Solve for x
    x = 2,618,674,805,824/737,692
  6. Step 6: Final answer
    x = 3,549,821.34

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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.