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Finding the Third Proportional to 1,992,728.25 and 3,172,361.63

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Solution

The third proportional to 1,992,728.25 and 3,172,361.63 is: 5,050,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,728.25 : 3,172,361.63 = 3,172,361.63 : x
  2. Step 2: Convert to fraction form
    1,992,728.25/3,172,361.63 = 3,172,361.63/x
  3. Step 3: Cross multiply
    1,992,728.25x = 3,172,361.63 × 3,172,361.63
  4. Step 4: Simplify right side
    1,992,728.25x = 10,063,878,279,772.64
  5. Step 5: Solve for x
    x = 10,063,878,279,772.64/1,992,728.25
  6. Step 6: Final answer
    x = 5,050,301.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.