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Finding the Third Proportional to 782,520 and 1,626,264

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Solution

The third proportional to 782,520 and 1,626,264 is: 3,379,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,520 : 1,626,264 = 1,626,264 : x
  2. Step 2: Convert to fraction form
    782,520/1,626,264 = 1,626,264/x
  3. Step 3: Cross multiply
    782,520x = 1,626,264 × 1,626,264
  4. Step 4: Simplify right side
    782,520x = 2,644,734,597,696
  5. Step 5: Solve for x
    x = 2,644,734,597,696/782,520
  6. Step 6: Final answer
    x = 3,379,766.14

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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.