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Finding the Third Proportional to 498,694 and 1,097,018

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Solution

The third proportional to 498,694 and 1,097,018 is: 2,413,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,694 : 1,097,018 = 1,097,018 : x
  2. Step 2: Convert to fraction form
    498,694/1,097,018 = 1,097,018/x
  3. Step 3: Cross multiply
    498,694x = 1,097,018 × 1,097,018
  4. Step 4: Simplify right side
    498,694x = 1,203,448,492,324
  5. Step 5: Solve for x
    x = 1,203,448,492,324/498,694
  6. Step 6: Final answer
    x = 2,413,200.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.