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Finding the Third Proportional to 1,419,416 and 3,113,635

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Solution

The third proportional to 1,419,416 and 3,113,635 is: 6,830,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,416 : 3,113,635 = 3,113,635 : x
  2. Step 2: Convert to fraction form
    1,419,416/3,113,635 = 3,113,635/x
  3. Step 3: Cross multiply
    1,419,416x = 3,113,635 × 3,113,635
  4. Step 4: Simplify right side
    1,419,416x = 9,694,722,913,225
  5. Step 5: Solve for x
    x = 9,694,722,913,225/1,419,416
  6. Step 6: Final answer
    x = 6,830,078.65

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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.