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Finding the Third Proportional to 665,844 and 1,015,350

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Solution

The third proportional to 665,844 and 1,015,350 is: 1,548,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,844 : 1,015,350 = 1,015,350 : x
  2. Step 2: Convert to fraction form
    665,844/1,015,350 = 1,015,350/x
  3. Step 3: Cross multiply
    665,844x = 1,015,350 × 1,015,350
  4. Step 4: Simplify right side
    665,844x = 1,030,935,622,500
  5. Step 5: Solve for x
    x = 1,030,935,622,500/665,844
  6. Step 6: Final answer
    x = 1,548,314.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.