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Finding the Third Proportional to 798,511 and 1,269,897

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Solution

The third proportional to 798,511 and 1,269,897 is: 2,019,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,511 : 1,269,897 = 1,269,897 : x
  2. Step 2: Convert to fraction form
    798,511/1,269,897 = 1,269,897/x
  3. Step 3: Cross multiply
    798,511x = 1,269,897 × 1,269,897
  4. Step 4: Simplify right side
    798,511x = 1,612,638,390,609
  5. Step 5: Solve for x
    x = 1,612,638,390,609/798,511
  6. Step 6: Final answer
    x = 2,019,556.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.