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Finding the Third Proportional to 2,477,914 and 3,489,502

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Solution

The third proportional to 2,477,914 and 3,489,502 is: 4,914,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,914 : 3,489,502 = 3,489,502 : x
  2. Step 2: Convert to fraction form
    2,477,914/3,489,502 = 3,489,502/x
  3. Step 3: Cross multiply
    2,477,914x = 3,489,502 × 3,489,502
  4. Step 4: Simplify right side
    2,477,914x = 12,176,624,208,004
  5. Step 5: Solve for x
    x = 12,176,624,208,004/2,477,914
  6. Step 6: Final answer
    x = 4,914,062.48

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