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Finding the Third Proportional to 1,267,934 and 2,735,603

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Solution

The third proportional to 1,267,934 and 2,735,603 is: 5,902,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,934 : 2,735,603 = 2,735,603 : x
  2. Step 2: Convert to fraction form
    1,267,934/2,735,603 = 2,735,603/x
  3. Step 3: Cross multiply
    1,267,934x = 2,735,603 × 2,735,603
  4. Step 4: Simplify right side
    1,267,934x = 7,483,523,773,609
  5. Step 5: Solve for x
    x = 7,483,523,773,609/1,267,934
  6. Step 6: Final answer
    x = 5,902,139.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.