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Finding the Third Proportional to 595,728 and 1,296,288

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Solution

The third proportional to 595,728 and 1,296,288 is: 2,820,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,728 : 1,296,288 = 1,296,288 : x
  2. Step 2: Convert to fraction form
    595,728/1,296,288 = 1,296,288/x
  3. Step 3: Cross multiply
    595,728x = 1,296,288 × 1,296,288
  4. Step 4: Simplify right side
    595,728x = 1,680,362,578,944
  5. Step 5: Solve for x
    x = 1,680,362,578,944/595,728
  6. Step 6: Final answer
    x = 2,820,687.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.