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Finding the Third Proportional to 595,702 and 1,296,476

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Solution

The third proportional to 595,702 and 1,296,476 is: 2,821,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,702 : 1,296,476 = 1,296,476 : x
  2. Step 2: Convert to fraction form
    595,702/1,296,476 = 1,296,476/x
  3. Step 3: Cross multiply
    595,702x = 1,296,476 × 1,296,476
  4. Step 4: Simplify right side
    595,702x = 1,680,850,018,576
  5. Step 5: Solve for x
    x = 1,680,850,018,576/595,702
  6. Step 6: Final answer
    x = 2,821,628.97

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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.