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Finding the Third Proportional to 497,924 and 1,092,600

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Solution

The third proportional to 497,924 and 1,092,600 is: 2,397,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,924 : 1,092,600 = 1,092,600 : x
  2. Step 2: Convert to fraction form
    497,924/1,092,600 = 1,092,600/x
  3. Step 3: Cross multiply
    497,924x = 1,092,600 × 1,092,600
  4. Step 4: Simplify right side
    497,924x = 1,193,774,760,000
  5. Step 5: Solve for x
    x = 1,193,774,760,000/497,924
  6. Step 6: Final answer
    x = 2,397,503.96

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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.