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Finding the Third Proportional to 497,806 and 1,092,379

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Solution

The third proportional to 497,806 and 1,092,379 is: 2,397,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,806 : 1,092,379 = 1,092,379 : x
  2. Step 2: Convert to fraction form
    497,806/1,092,379 = 1,092,379/x
  3. Step 3: Cross multiply
    497,806x = 1,092,379 × 1,092,379
  4. Step 4: Simplify right side
    497,806x = 1,193,291,879,641
  5. Step 5: Solve for x
    x = 1,193,291,879,641/497,806
  6. Step 6: Final answer
    x = 2,397,102.24

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Why These Related Problems?

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