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Finding the Third Proportional to 638,744 and 1,064,512

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Solution

The third proportional to 638,744 and 1,064,512 is: 1,774,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,744 : 1,064,512 = 1,064,512 : x
  2. Step 2: Convert to fraction form
    638,744/1,064,512 = 1,064,512/x
  3. Step 3: Cross multiply
    638,744x = 1,064,512 × 1,064,512
  4. Step 4: Simplify right side
    638,744x = 1,133,185,798,144
  5. Step 5: Solve for x
    x = 1,133,185,798,144/638,744
  6. Step 6: Final answer
    x = 1,774,084.45

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.