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Finding the Third Proportional to 692,508 and 1,082,502

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Solution

The third proportional to 692,508 and 1,082,502 is: 1,692,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,508 : 1,082,502 = 1,082,502 : x
  2. Step 2: Convert to fraction form
    692,508/1,082,502 = 1,082,502/x
  3. Step 3: Cross multiply
    692,508x = 1,082,502 × 1,082,502
  4. Step 4: Simplify right side
    692,508x = 1,171,810,580,004
  5. Step 5: Solve for x
    x = 1,171,810,580,004/692,508
  6. Step 6: Final answer
    x = 1,692,125.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.