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Finding the Third Proportional to 650,016 and 1,037,988

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Solution

The third proportional to 650,016 and 1,037,988 is: 1,657,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,016 : 1,037,988 = 1,037,988 : x
  2. Step 2: Convert to fraction form
    650,016/1,037,988 = 1,037,988/x
  3. Step 3: Cross multiply
    650,016x = 1,037,988 × 1,037,988
  4. Step 4: Simplify right side
    650,016x = 1,077,419,088,144
  5. Step 5: Solve for x
    x = 1,077,419,088,144/650,016
  6. Step 6: Final answer
    x = 1,657,527.03

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.