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Finding the Third Proportional to 619,841 and 877,368

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Solution

The third proportional to 619,841 and 877,368 is: 1,241,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,841 : 877,368 = 877,368 : x
  2. Step 2: Convert to fraction form
    619,841/877,368 = 877,368/x
  3. Step 3: Cross multiply
    619,841x = 877,368 × 877,368
  4. Step 4: Simplify right side
    619,841x = 769,774,607,424
  5. Step 5: Solve for x
    x = 769,774,607,424/619,841
  6. Step 6: Final answer
    x = 1,241,890.43

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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.