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Finding the Third Proportional to 500,488 and 1,042,394

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Solution

The third proportional to 500,488 and 1,042,394 is: 2,171,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,488 : 1,042,394 = 1,042,394 : x
  2. Step 2: Convert to fraction form
    500,488/1,042,394 = 1,042,394/x
  3. Step 3: Cross multiply
    500,488x = 1,042,394 × 1,042,394
  4. Step 4: Simplify right side
    500,488x = 1,086,585,251,236
  5. Step 5: Solve for x
    x = 1,086,585,251,236/500,488
  6. Step 6: Final answer
    x = 2,171,051.56

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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.