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Finding the Third Proportional to 696,296 and 1,483,632

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Solution

The third proportional to 696,296 and 1,483,632 is: 3,161,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,296 : 1,483,632 = 1,483,632 : x
  2. Step 2: Convert to fraction form
    696,296/1,483,632 = 1,483,632/x
  3. Step 3: Cross multiply
    696,296x = 1,483,632 × 1,483,632
  4. Step 4: Simplify right side
    696,296x = 2,201,163,911,424
  5. Step 5: Solve for x
    x = 2,201,163,911,424/696,296
  6. Step 6: Final answer
    x = 3,161,247.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.