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Finding the Third Proportional to 534,942 and 1,114,722

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Solution

The third proportional to 534,942 and 1,114,722 is: 2,322,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,942 : 1,114,722 = 1,114,722 : x
  2. Step 2: Convert to fraction form
    534,942/1,114,722 = 1,114,722/x
  3. Step 3: Cross multiply
    534,942x = 1,114,722 × 1,114,722
  4. Step 4: Simplify right side
    534,942x = 1,242,605,137,284
  5. Step 5: Solve for x
    x = 1,242,605,137,284/534,942
  6. Step 6: Final answer
    x = 2,322,878.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.