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Finding the Third Proportional to 641,104 and 1,015,172

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Solution

The third proportional to 641,104 and 1,015,172 is: 1,607,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,104 : 1,015,172 = 1,015,172 : x
  2. Step 2: Convert to fraction form
    641,104/1,015,172 = 1,015,172/x
  3. Step 3: Cross multiply
    641,104x = 1,015,172 × 1,015,172
  4. Step 4: Simplify right side
    641,104x = 1,030,574,189,584
  5. Step 5: Solve for x
    x = 1,030,574,189,584/641,104
  6. Step 6: Final answer
    x = 1,607,499.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.