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Finding the Third Proportional to 610,686 and 897,783.75

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Solution

The third proportional to 610,686 and 897,783.75 is: 1,319,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,686 : 897,783.75 = 897,783.75 : x
  2. Step 2: Convert to fraction form
    610,686/897,783.75 = 897,783.75/x
  3. Step 3: Cross multiply
    610,686x = 897,783.75 × 897,783.75
  4. Step 4: Simplify right side
    610,686x = 806,015,661,764.06
  5. Step 5: Solve for x
    x = 806,015,661,764.06/610,686
  6. Step 6: Final answer
    x = 1,319,852.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.