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Finding the Third Proportional to 548,957 and 1,189,537

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Solution

The third proportional to 548,957 and 1,189,537 is: 2,577,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,957 : 1,189,537 = 1,189,537 : x
  2. Step 2: Convert to fraction form
    548,957/1,189,537 = 1,189,537/x
  3. Step 3: Cross multiply
    548,957x = 1,189,537 × 1,189,537
  4. Step 4: Simplify right side
    548,957x = 1,414,998,274,369
  5. Step 5: Solve for x
    x = 1,414,998,274,369/548,957
  6. Step 6: Final answer
    x = 2,577,612.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.