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Finding the Third Proportional to 1,269,852 and 1,729,290

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Solution

The third proportional to 1,269,852 and 1,729,290 is: 2,354,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,852 : 1,729,290 = 1,729,290 : x
  2. Step 2: Convert to fraction form
    1,269,852/1,729,290 = 1,729,290/x
  3. Step 3: Cross multiply
    1,269,852x = 1,729,290 × 1,729,290
  4. Step 4: Simplify right side
    1,269,852x = 2,990,443,904,100
  5. Step 5: Solve for x
    x = 2,990,443,904,100/1,269,852
  6. Step 6: Final answer
    x = 2,354,954.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.