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Finding the Third Proportional to 492,729 and 1,062,367

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Solution

The third proportional to 492,729 and 1,062,367 is: 2,290,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,729 : 1,062,367 = 1,062,367 : x
  2. Step 2: Convert to fraction form
    492,729/1,062,367 = 1,062,367/x
  3. Step 3: Cross multiply
    492,729x = 1,062,367 × 1,062,367
  4. Step 4: Simplify right side
    492,729x = 1,128,623,642,689
  5. Step 5: Solve for x
    x = 1,128,623,642,689/492,729
  6. Step 6: Final answer
    x = 2,290,556.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.