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Finding the Third Proportional to 578,763 and 1,246,419

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Solution

The third proportional to 578,763 and 1,246,419 is: 2,684,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,763 : 1,246,419 = 1,246,419 : x
  2. Step 2: Convert to fraction form
    578,763/1,246,419 = 1,246,419/x
  3. Step 3: Cross multiply
    578,763x = 1,246,419 × 1,246,419
  4. Step 4: Simplify right side
    578,763x = 1,553,560,323,561
  5. Step 5: Solve for x
    x = 1,553,560,323,561/578,763
  6. Step 6: Final answer
    x = 2,684,277.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.