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Finding the Third Proportional to 498,886 and 1,094,356

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Solution

The third proportional to 498,886 and 1,094,356 is: 2,400,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,886 : 1,094,356 = 1,094,356 : x
  2. Step 2: Convert to fraction form
    498,886/1,094,356 = 1,094,356/x
  3. Step 3: Cross multiply
    498,886x = 1,094,356 × 1,094,356
  4. Step 4: Simplify right side
    498,886x = 1,197,615,054,736
  5. Step 5: Solve for x
    x = 1,197,615,054,736/498,886
  6. Step 6: Final answer
    x = 2,400,578.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.