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Finding the Third Proportional to 619,998 and 877,538

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Solution

The third proportional to 619,998 and 877,538 is: 1,242,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,998 : 877,538 = 877,538 : x
  2. Step 2: Convert to fraction form
    619,998/877,538 = 877,538/x
  3. Step 3: Cross multiply
    619,998x = 877,538 × 877,538
  4. Step 4: Simplify right side
    619,998x = 770,072,941,444
  5. Step 5: Solve for x
    x = 770,072,941,444/619,998
  6. Step 6: Final answer
    x = 1,242,057.14

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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.