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Finding the Third Proportional to 785,511 and 1,691,307

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Solution

The third proportional to 785,511 and 1,691,307 is: 3,641,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,511 : 1,691,307 = 1,691,307 : x
  2. Step 2: Convert to fraction form
    785,511/1,691,307 = 1,691,307/x
  3. Step 3: Cross multiply
    785,511x = 1,691,307 × 1,691,307
  4. Step 4: Simplify right side
    785,511x = 2,860,519,368,249
  5. Step 5: Solve for x
    x = 2,860,519,368,249/785,511
  6. Step 6: Final answer
    x = 3,641,603.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.