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Finding the Third Proportional to 1,556,430 and 3,408,114

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Solution

The third proportional to 1,556,430 and 3,408,114 is: 7,462,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556,430 : 3,408,114 = 3,408,114 : x
  2. Step 2: Convert to fraction form
    1,556,430/3,408,114 = 3,408,114/x
  3. Step 3: Cross multiply
    1,556,430x = 3,408,114 × 3,408,114
  4. Step 4: Simplify right side
    1,556,430x = 11,615,241,036,996
  5. Step 5: Solve for x
    x = 11,615,241,036,996/1,556,430
  6. Step 6: Final answer
    x = 7,462,745.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.