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Finding the Third Proportional to 692,682 and 1,036,254

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Solution

The third proportional to 692,682 and 1,036,254 is: 1,550,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,682 : 1,036,254 = 1,036,254 : x
  2. Step 2: Convert to fraction form
    692,682/1,036,254 = 1,036,254/x
  3. Step 3: Cross multiply
    692,682x = 1,036,254 × 1,036,254
  4. Step 4: Simplify right side
    692,682x = 1,073,822,352,516
  5. Step 5: Solve for x
    x = 1,073,822,352,516/692,682
  6. Step 6: Final answer
    x = 1,550,238.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.