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Finding the Third Proportional to 492,709.50 and 1,069,074

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Solution

The third proportional to 492,709.50 and 1,069,074 is: 2,319,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,709.50 : 1,069,074 = 1,069,074 : x
  2. Step 2: Convert to fraction form
    492,709.50/1,069,074 = 1,069,074/x
  3. Step 3: Cross multiply
    492,709.50x = 1,069,074 × 1,069,074
  4. Step 4: Simplify right side
    492,709.50x = 1,142,919,217,476
  5. Step 5: Solve for x
    x = 1,142,919,217,476/492,709.50
  6. Step 6: Final answer
    x = 2,319,661.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.