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Finding the Third Proportional to 632,252 and 1,382,532

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Solution

The third proportional to 632,252 and 1,382,532 is: 3,023,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,252 : 1,382,532 = 1,382,532 : x
  2. Step 2: Convert to fraction form
    632,252/1,382,532 = 1,382,532/x
  3. Step 3: Cross multiply
    632,252x = 1,382,532 × 1,382,532
  4. Step 4: Simplify right side
    632,252x = 1,911,394,731,024
  5. Step 5: Solve for x
    x = 1,911,394,731,024/632,252
  6. Step 6: Final answer
    x = 3,023,153.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.