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Finding the Third Proportional to 692,736 and 1,036,340

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Solution

The third proportional to 692,736 and 1,036,340 is: 1,550,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,736 : 1,036,340 = 1,036,340 : x
  2. Step 2: Convert to fraction form
    692,736/1,036,340 = 1,036,340/x
  3. Step 3: Cross multiply
    692,736x = 1,036,340 × 1,036,340
  4. Step 4: Simplify right side
    692,736x = 1,074,000,595,600
  5. Step 5: Solve for x
    x = 1,074,000,595,600/692,736
  6. Step 6: Final answer
    x = 1,550,375.03

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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.