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Finding the Third Proportional to 584,794 and 881,511

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Solution

The third proportional to 584,794 and 881,511 is: 1,328,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,794 : 881,511 = 881,511 : x
  2. Step 2: Convert to fraction form
    584,794/881,511 = 881,511/x
  3. Step 3: Cross multiply
    584,794x = 881,511 × 881,511
  4. Step 4: Simplify right side
    584,794x = 777,061,643,121
  5. Step 5: Solve for x
    x = 777,061,643,121/584,794
  6. Step 6: Final answer
    x = 1,328,778.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.