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Finding the Third Proportional to 652,433 and 1,433,170

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Solution

The third proportional to 652,433 and 1,433,170 is: 3,148,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,433 : 1,433,170 = 1,433,170 : x
  2. Step 2: Convert to fraction form
    652,433/1,433,170 = 1,433,170/x
  3. Step 3: Cross multiply
    652,433x = 1,433,170 × 1,433,170
  4. Step 4: Simplify right side
    652,433x = 2,053,976,248,900
  5. Step 5: Solve for x
    x = 2,053,976,248,900/652,433
  6. Step 6: Final answer
    x = 3,148,179.58

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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.