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Finding the Third Proportional to 612,571 and 1,297,878

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Solution

The third proportional to 612,571 and 1,297,878 is: 2,749,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,571 : 1,297,878 = 1,297,878 : x
  2. Step 2: Convert to fraction form
    612,571/1,297,878 = 1,297,878/x
  3. Step 3: Cross multiply
    612,571x = 1,297,878 × 1,297,878
  4. Step 4: Simplify right side
    612,571x = 1,684,487,302,884
  5. Step 5: Solve for x
    x = 1,684,487,302,884/612,571
  6. Step 6: Final answer
    x = 2,749,864.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.