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Finding the Third Proportional to 539,792 and 1,162,623

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Solution

The third proportional to 539,792 and 1,162,623 is: 2,504,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,792 : 1,162,623 = 1,162,623 : x
  2. Step 2: Convert to fraction form
    539,792/1,162,623 = 1,162,623/x
  3. Step 3: Cross multiply
    539,792x = 1,162,623 × 1,162,623
  4. Step 4: Simplify right side
    539,792x = 1,351,692,240,129
  5. Step 5: Solve for x
    x = 1,351,692,240,129/539,792
  6. Step 6: Final answer
    x = 2,504,098.32

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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.