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Finding the Third Proportional to 498,440 and 1,081,012

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Solution

The third proportional to 498,440 and 1,081,012 is: 2,344,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,440 : 1,081,012 = 1,081,012 : x
  2. Step 2: Convert to fraction form
    498,440/1,081,012 = 1,081,012/x
  3. Step 3: Cross multiply
    498,440x = 1,081,012 × 1,081,012
  4. Step 4: Simplify right side
    498,440x = 1,168,586,944,144
  5. Step 5: Solve for x
    x = 1,168,586,944,144/498,440
  6. Step 6: Final answer
    x = 2,344,488.69

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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.