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Finding the Third Proportional to 565,544 and 1,212,970

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Solution

The third proportional to 565,544 and 1,212,970 is: 2,601,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,544 : 1,212,970 = 1,212,970 : x
  2. Step 2: Convert to fraction form
    565,544/1,212,970 = 1,212,970/x
  3. Step 3: Cross multiply
    565,544x = 1,212,970 × 1,212,970
  4. Step 4: Simplify right side
    565,544x = 1,471,296,220,900
  5. Step 5: Solve for x
    x = 1,471,296,220,900/565,544
  6. Step 6: Final answer
    x = 2,601,559.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.