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Finding the Third Proportional to 632,817 and 1,365,084

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Solution

The third proportional to 632,817 and 1,365,084 is: 2,944,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,817 : 1,365,084 = 1,365,084 : x
  2. Step 2: Convert to fraction form
    632,817/1,365,084 = 1,365,084/x
  3. Step 3: Cross multiply
    632,817x = 1,365,084 × 1,365,084
  4. Step 4: Simplify right side
    632,817x = 1,863,454,327,056
  5. Step 5: Solve for x
    x = 1,863,454,327,056/632,817
  6. Step 6: Final answer
    x = 2,944,697.01

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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.