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Finding the Third Proportional to 539,397 and 818,937

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Solution

The third proportional to 539,397 and 818,937 is: 1,243,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,397 : 818,937 = 818,937 : x
  2. Step 2: Convert to fraction form
    539,397/818,937 = 818,937/x
  3. Step 3: Cross multiply
    539,397x = 818,937 × 818,937
  4. Step 4: Simplify right side
    539,397x = 670,657,809,969
  5. Step 5: Solve for x
    x = 670,657,809,969/539,397
  6. Step 6: Final answer
    x = 1,243,347.31

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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.