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Finding the Third Proportional to 793,242 and 1,208,452

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Solution

The third proportional to 793,242 and 1,208,452 is: 1,840,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,242 : 1,208,452 = 1,208,452 : x
  2. Step 2: Convert to fraction form
    793,242/1,208,452 = 1,208,452/x
  3. Step 3: Cross multiply
    793,242x = 1,208,452 × 1,208,452
  4. Step 4: Simplify right side
    793,242x = 1,460,356,236,304
  5. Step 5: Solve for x
    x = 1,460,356,236,304/793,242
  6. Step 6: Final answer
    x = 1,840,997.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.