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Finding the Third Proportional to 500,480 and 1,042,378

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Solution

The third proportional to 500,480 and 1,042,378 is: 2,171,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,480 : 1,042,378 = 1,042,378 : x
  2. Step 2: Convert to fraction form
    500,480/1,042,378 = 1,042,378/x
  3. Step 3: Cross multiply
    500,480x = 1,042,378 × 1,042,378
  4. Step 4: Simplify right side
    500,480x = 1,086,551,894,884
  5. Step 5: Solve for x
    x = 1,086,551,894,884/500,480
  6. Step 6: Final answer
    x = 2,171,019.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.