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Finding the Third Proportional to 815,620 and 1,756,232

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Solution

The third proportional to 815,620 and 1,756,232 is: 3,781,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,620 : 1,756,232 = 1,756,232 : x
  2. Step 2: Convert to fraction form
    815,620/1,756,232 = 1,756,232/x
  3. Step 3: Cross multiply
    815,620x = 1,756,232 × 1,756,232
  4. Step 4: Simplify right side
    815,620x = 3,084,350,837,824
  5. Step 5: Solve for x
    x = 3,084,350,837,824/815,620
  6. Step 6: Final answer
    x = 3,781,602.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.