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Finding the Third Proportional to 633,485 and 1,365,988

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Solution

The third proportional to 633,485 and 1,365,988 is: 2,945,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,485 : 1,365,988 = 1,365,988 : x
  2. Step 2: Convert to fraction form
    633,485/1,365,988 = 1,365,988/x
  3. Step 3: Cross multiply
    633,485x = 1,365,988 × 1,365,988
  4. Step 4: Simplify right side
    633,485x = 1,865,923,216,144
  5. Step 5: Solve for x
    x = 1,865,923,216,144/633,485
  6. Step 6: Final answer
    x = 2,945,489.18

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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.