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Finding the Third Proportional to 498,556 and 1,081,232

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Solution

The third proportional to 498,556 and 1,081,232 is: 2,344,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,556 : 1,081,232 = 1,081,232 : x
  2. Step 2: Convert to fraction form
    498,556/1,081,232 = 1,081,232/x
  3. Step 3: Cross multiply
    498,556x = 1,081,232 × 1,081,232
  4. Step 4: Simplify right side
    498,556x = 1,169,062,637,824
  5. Step 5: Solve for x
    x = 1,169,062,637,824/498,556
  6. Step 6: Final answer
    x = 2,344,897.34

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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.