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Finding the Third Proportional to 497,922 and 1,092,596

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Solution

The third proportional to 497,922 and 1,092,596 is: 2,397,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,922 : 1,092,596 = 1,092,596 : x
  2. Step 2: Convert to fraction form
    497,922/1,092,596 = 1,092,596/x
  3. Step 3: Cross multiply
    497,922x = 1,092,596 × 1,092,596
  4. Step 4: Simplify right side
    497,922x = 1,193,766,019,216
  5. Step 5: Solve for x
    x = 1,193,766,019,216/497,922
  6. Step 6: Final answer
    x = 2,397,496.03

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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.