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Finding the Third Proportional to 497,890 and 1,092,532

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Solution

The third proportional to 497,890 and 1,092,532 is: 2,397,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,890 : 1,092,532 = 1,092,532 : x
  2. Step 2: Convert to fraction form
    497,890/1,092,532 = 1,092,532/x
  3. Step 3: Cross multiply
    497,890x = 1,092,532 × 1,092,532
  4. Step 4: Simplify right side
    497,890x = 1,193,626,171,024
  5. Step 5: Solve for x
    x = 1,193,626,171,024/497,890
  6. Step 6: Final answer
    x = 2,397,369.24

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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.