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Finding the Third Proportional to 642,504 and 1,522,122

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Solution

The third proportional to 642,504 and 1,522,122 is: 3,605,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,504 : 1,522,122 = 1,522,122 : x
  2. Step 2: Convert to fraction form
    642,504/1,522,122 = 1,522,122/x
  3. Step 3: Cross multiply
    642,504x = 1,522,122 × 1,522,122
  4. Step 4: Simplify right side
    642,504x = 2,316,855,382,884
  5. Step 5: Solve for x
    x = 2,316,855,382,884/642,504
  6. Step 6: Final answer
    x = 3,605,978.15

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.