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Finding the Third Proportional to 619,988 and 877,524

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Solution

The third proportional to 619,988 and 877,524 is: 1,242,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,988 : 877,524 = 877,524 : x
  2. Step 2: Convert to fraction form
    619,988/877,524 = 877,524/x
  3. Step 3: Cross multiply
    619,988x = 877,524 × 877,524
  4. Step 4: Simplify right side
    619,988x = 770,048,370,576
  5. Step 5: Solve for x
    x = 770,048,370,576/619,988
  6. Step 6: Final answer
    x = 1,242,037.54

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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.