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Finding the Third Proportional to 632,160 and 1,397,268

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Solution

The third proportional to 632,160 and 1,397,268 is: 3,088,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,160 : 1,397,268 = 1,397,268 : x
  2. Step 2: Convert to fraction form
    632,160/1,397,268 = 1,397,268/x
  3. Step 3: Cross multiply
    632,160x = 1,397,268 × 1,397,268
  4. Step 4: Simplify right side
    632,160x = 1,952,357,863,824
  5. Step 5: Solve for x
    x = 1,952,357,863,824/632,160
  6. Step 6: Final answer
    x = 3,088,391.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.