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Finding the Third Proportional to 1,477,046 and 3,213,292

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Solution

The third proportional to 1,477,046 and 3,213,292 is: 6,990,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,046 : 3,213,292 = 3,213,292 : x
  2. Step 2: Convert to fraction form
    1,477,046/3,213,292 = 3,213,292/x
  3. Step 3: Cross multiply
    1,477,046x = 3,213,292 × 3,213,292
  4. Step 4: Simplify right side
    1,477,046x = 10,325,245,477,264
  5. Step 5: Solve for x
    x = 10,325,245,477,264/1,477,046
  6. Step 6: Final answer
    x = 6,990,469.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.