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Finding the Third Proportional to 2,114,658 and 3,172,635

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Solution

The third proportional to 2,114,658 and 3,172,635 is: 4,759,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,658 : 3,172,635 = 3,172,635 : x
  2. Step 2: Convert to fraction form
    2,114,658/3,172,635 = 3,172,635/x
  3. Step 3: Cross multiply
    2,114,658x = 3,172,635 × 3,172,635
  4. Step 4: Simplify right side
    2,114,658x = 10,065,612,843,225
  5. Step 5: Solve for x
    x = 10,065,612,843,225/2,114,658
  6. Step 6: Final answer
    x = 4,759,924.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.