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Finding the Third Proportional to 483,409 and 1,036,802

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Solution

The third proportional to 483,409 and 1,036,802 is: 2,223,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,409 : 1,036,802 = 1,036,802 : x
  2. Step 2: Convert to fraction form
    483,409/1,036,802 = 1,036,802/x
  3. Step 3: Cross multiply
    483,409x = 1,036,802 × 1,036,802
  4. Step 4: Simplify right side
    483,409x = 1,074,958,387,204
  5. Step 5: Solve for x
    x = 1,074,958,387,204/483,409
  6. Step 6: Final answer
    x = 2,223,703.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.