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Finding the Third Proportional to 619,843 and 877,371

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Solution

The third proportional to 619,843 and 877,371 is: 1,241,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,843 : 877,371 = 877,371 : x
  2. Step 2: Convert to fraction form
    619,843/877,371 = 877,371/x
  3. Step 3: Cross multiply
    619,843x = 877,371 × 877,371
  4. Step 4: Simplify right side
    619,843x = 769,779,871,641
  5. Step 5: Solve for x
    x = 769,779,871,641/619,843
  6. Step 6: Final answer
    x = 1,241,894.92

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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.