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Finding the Third Proportional to 1,294,126.50 and 2,722,074

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Solution

The third proportional to 1,294,126.50 and 2,722,074 is: 5,725,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,126.50 : 2,722,074 = 2,722,074 : x
  2. Step 2: Convert to fraction form
    1,294,126.50/2,722,074 = 2,722,074/x
  3. Step 3: Cross multiply
    1,294,126.50x = 2,722,074 × 2,722,074
  4. Step 4: Simplify right side
    1,294,126.50x = 7,409,686,861,476
  5. Step 5: Solve for x
    x = 7,409,686,861,476/1,294,126.50
  6. Step 6: Final answer
    x = 5,725,627.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.