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Finding the Third Proportional to 801,608 and 1,242,912

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Solution

The third proportional to 801,608 and 1,242,912 is: 1,927,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,608 : 1,242,912 = 1,242,912 : x
  2. Step 2: Convert to fraction form
    801,608/1,242,912 = 1,242,912/x
  3. Step 3: Cross multiply
    801,608x = 1,242,912 × 1,242,912
  4. Step 4: Simplify right side
    801,608x = 1,544,830,239,744
  5. Step 5: Solve for x
    x = 1,544,830,239,744/801,608
  6. Step 6: Final answer
    x = 1,927,164.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.