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Finding the Third Proportional to 1,725,828 and 2,701,416

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Solution

The third proportional to 1,725,828 and 2,701,416 is: 4,228,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,828 : 2,701,416 = 2,701,416 : x
  2. Step 2: Convert to fraction form
    1,725,828/2,701,416 = 2,701,416/x
  3. Step 3: Cross multiply
    1,725,828x = 2,701,416 × 2,701,416
  4. Step 4: Simplify right side
    1,725,828x = 7,297,648,405,056
  5. Step 5: Solve for x
    x = 7,297,648,405,056/1,725,828
  6. Step 6: Final answer
    x = 4,228,491.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.