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Finding the Third Proportional to 652,500 and 1,437,444

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Solution

The third proportional to 652,500 and 1,437,444 is: 3,166,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,500 : 1,437,444 = 1,437,444 : x
  2. Step 2: Convert to fraction form
    652,500/1,437,444 = 1,437,444/x
  3. Step 3: Cross multiply
    652,500x = 1,437,444 × 1,437,444
  4. Step 4: Simplify right side
    652,500x = 2,066,245,253,136
  5. Step 5: Solve for x
    x = 2,066,245,253,136/652,500
  6. Step 6: Final answer
    x = 3,166,659.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.