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Finding the Third Proportional to 497,956 and 1,092,664

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Solution

The third proportional to 497,956 and 1,092,664 is: 2,397,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,956 : 1,092,664 = 1,092,664 : x
  2. Step 2: Convert to fraction form
    497,956/1,092,664 = 1,092,664/x
  3. Step 3: Cross multiply
    497,956x = 1,092,664 × 1,092,664
  4. Step 4: Simplify right side
    497,956x = 1,193,914,616,896
  5. Step 5: Solve for x
    x = 1,193,914,616,896/497,956
  6. Step 6: Final answer
    x = 2,397,630.75

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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.