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Finding the Third Proportional to 498,804 and 1,033,080

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Solution

The third proportional to 498,804 and 1,033,080 is: 2,139,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,804 : 1,033,080 = 1,033,080 : x
  2. Step 2: Convert to fraction form
    498,804/1,033,080 = 1,033,080/x
  3. Step 3: Cross multiply
    498,804x = 1,033,080 × 1,033,080
  4. Step 4: Simplify right side
    498,804x = 1,067,254,286,400
  5. Step 5: Solve for x
    x = 1,067,254,286,400/498,804
  6. Step 6: Final answer
    x = 2,139,626.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.