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Finding the Third Proportional to 1,854,575 and 3,954,103

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Solution

The third proportional to 1,854,575 and 3,954,103 is: 8,430,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,575 : 3,954,103 = 3,954,103 : x
  2. Step 2: Convert to fraction form
    1,854,575/3,954,103 = 3,954,103/x
  3. Step 3: Cross multiply
    1,854,575x = 3,954,103 × 3,954,103
  4. Step 4: Simplify right side
    1,854,575x = 15,634,930,534,609
  5. Step 5: Solve for x
    x = 15,634,930,534,609/1,854,575
  6. Step 6: Final answer
    x = 8,430,465.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.