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Finding the Third Proportional to 4,556,636 and 6,408,609

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Solution

The third proportional to 4,556,636 and 6,408,609 is: 9,013,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556,636 : 6,408,609 = 6,408,609 : x
  2. Step 2: Convert to fraction form
    4,556,636/6,408,609 = 6,408,609/x
  3. Step 3: Cross multiply
    4,556,636x = 6,408,609 × 6,408,609
  4. Step 4: Simplify right side
    4,556,636x = 41,070,269,314,881
  5. Step 5: Solve for x
    x = 41,070,269,314,881/4,556,636
  6. Step 6: Final answer
    x = 9,013,287.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.