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Finding the Third Proportional to 509,446 and 1,060,240

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Solution

The third proportional to 509,446 and 1,060,240 is: 2,206,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,446 : 1,060,240 = 1,060,240 : x
  2. Step 2: Convert to fraction form
    509,446/1,060,240 = 1,060,240/x
  3. Step 3: Cross multiply
    509,446x = 1,060,240 × 1,060,240
  4. Step 4: Simplify right side
    509,446x = 1,124,108,857,600
  5. Step 5: Solve for x
    x = 1,124,108,857,600/509,446
  6. Step 6: Final answer
    x = 2,206,531.91

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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.