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Finding the Third Proportional to 498,803 and 1,033,078

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Solution

The third proportional to 498,803 and 1,033,078 is: 2,139,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,803 : 1,033,078 = 1,033,078 : x
  2. Step 2: Convert to fraction form
    498,803/1,033,078 = 1,033,078/x
  3. Step 3: Cross multiply
    498,803x = 1,033,078 × 1,033,078
  4. Step 4: Simplify right side
    498,803x = 1,067,250,154,084
  5. Step 5: Solve for x
    x = 1,067,250,154,084/498,803
  6. Step 6: Final answer
    x = 2,139,622.56

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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.