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Finding the Third Proportional to 665,846 and 1,015,353

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Solution

The third proportional to 665,846 and 1,015,353 is: 1,548,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,846 : 1,015,353 = 1,015,353 : x
  2. Step 2: Convert to fraction form
    665,846/1,015,353 = 1,015,353/x
  3. Step 3: Cross multiply
    665,846x = 1,015,353 × 1,015,353
  4. Step 4: Simplify right side
    665,846x = 1,030,941,714,609
  5. Step 5: Solve for x
    x = 1,030,941,714,609/665,846
  6. Step 6: Final answer
    x = 1,548,318.55

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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.