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Finding the Third Proportional to 632,988 and 1,365,849

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Solution

The third proportional to 632,988 and 1,365,849 is: 2,947,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,988 : 1,365,849 = 1,365,849 : x
  2. Step 2: Convert to fraction form
    632,988/1,365,849 = 1,365,849/x
  3. Step 3: Cross multiply
    632,988x = 1,365,849 × 1,365,849
  4. Step 4: Simplify right side
    632,988x = 1,865,543,490,801
  5. Step 5: Solve for x
    x = 1,865,543,490,801/632,988
  6. Step 6: Final answer
    x = 2,947,201.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.