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Finding the Third Proportional to 619,999 and 877,539

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Solution

The third proportional to 619,999 and 877,539 is: 1,242,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,999 : 877,539 = 877,539 : x
  2. Step 2: Convert to fraction form
    619,999/877,539 = 877,539/x
  3. Step 3: Cross multiply
    619,999x = 877,539 × 877,539
  4. Step 4: Simplify right side
    619,999x = 770,074,696,521
  5. Step 5: Solve for x
    x = 770,074,696,521/619,999
  6. Step 6: Final answer
    x = 1,242,057.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.