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Finding the Third Proportional to 498,805 and 1,033,082

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Solution

The third proportional to 498,805 and 1,033,082 is: 2,139,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,805 : 1,033,082 = 1,033,082 : x
  2. Step 2: Convert to fraction form
    498,805/1,033,082 = 1,033,082/x
  3. Step 3: Cross multiply
    498,805x = 1,033,082 × 1,033,082
  4. Step 4: Simplify right side
    498,805x = 1,067,258,418,724
  5. Step 5: Solve for x
    x = 1,067,258,418,724/498,805
  6. Step 6: Final answer
    x = 2,139,630.55

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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.