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Finding the Third Proportional to 498,522 and 1,081,173

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Solution

The third proportional to 498,522 and 1,081,173 is: 2,344,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,522 : 1,081,173 = 1,081,173 : x
  2. Step 2: Convert to fraction form
    498,522/1,081,173 = 1,081,173/x
  3. Step 3: Cross multiply
    498,522x = 1,081,173 × 1,081,173
  4. Step 4: Simplify right side
    498,522x = 1,168,935,055,929
  5. Step 5: Solve for x
    x = 1,168,935,055,929/498,522
  6. Step 6: Final answer
    x = 2,344,801.34

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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.