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Finding the Third Proportional to 500,632 and 1,042,684

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Solution

The third proportional to 500,632 and 1,042,684 is: 2,171,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,632 : 1,042,684 = 1,042,684 : x
  2. Step 2: Convert to fraction form
    500,632/1,042,684 = 1,042,684/x
  3. Step 3: Cross multiply
    500,632x = 1,042,684 × 1,042,684
  4. Step 4: Simplify right side
    500,632x = 1,087,189,923,856
  5. Step 5: Solve for x
    x = 1,087,189,923,856/500,632
  6. Step 6: Final answer
    x = 2,171,634.90

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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.