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Finding the Third Proportional to 619,839 and 877,365

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Solution

The third proportional to 619,839 and 877,365 is: 1,241,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,839 : 877,365 = 877,365 : x
  2. Step 2: Convert to fraction form
    619,839/877,365 = 877,365/x
  3. Step 3: Cross multiply
    619,839x = 877,365 × 877,365
  4. Step 4: Simplify right side
    619,839x = 769,769,343,225
  5. Step 5: Solve for x
    x = 769,769,343,225/619,839
  6. Step 6: Final answer
    x = 1,241,885.95

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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.