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Finding the Third Proportional to 492,009 and 1,042,520

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Solution

The third proportional to 492,009 and 1,042,520 is: 2,209,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,009 : 1,042,520 = 1,042,520 : x
  2. Step 2: Convert to fraction form
    492,009/1,042,520 = 1,042,520/x
  3. Step 3: Cross multiply
    492,009x = 1,042,520 × 1,042,520
  4. Step 4: Simplify right side
    492,009x = 1,086,847,950,400
  5. Step 5: Solve for x
    x = 1,086,847,950,400/492,009
  6. Step 6: Final answer
    x = 2,209,000.14

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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.