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Finding the Third Proportional to 493,344 and 1,054,080

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Solution

The third proportional to 493,344 and 1,054,080 is: 2,252,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,344 : 1,054,080 = 1,054,080 : x
  2. Step 2: Convert to fraction form
    493,344/1,054,080 = 1,054,080/x
  3. Step 3: Cross multiply
    493,344x = 1,054,080 × 1,054,080
  4. Step 4: Simplify right side
    493,344x = 1,111,084,646,400
  5. Step 5: Solve for x
    x = 1,111,084,646,400/493,344
  6. Step 6: Final answer
    x = 2,252,149.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.