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Finding the Third Proportional to 492,011 and 1,042,524

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Solution

The third proportional to 492,011 and 1,042,524 is: 2,209,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,011 : 1,042,524 = 1,042,524 : x
  2. Step 2: Convert to fraction form
    492,011/1,042,524 = 1,042,524/x
  3. Step 3: Cross multiply
    492,011x = 1,042,524 × 1,042,524
  4. Step 4: Simplify right side
    492,011x = 1,086,856,290,576
  5. Step 5: Solve for x
    x = 1,086,856,290,576/492,011
  6. Step 6: Final answer
    x = 2,209,008.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.