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Finding the Third Proportional to 1,754,262.56 and 2,624,256.56

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Solution

The third proportional to 1,754,262.56 and 2,624,256.56 is: 3,925,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,262.56 : 2,624,256.56 = 2,624,256.56 : x
  2. Step 2: Convert to fraction form
    1,754,262.56/2,624,256.56 = 2,624,256.56/x
  3. Step 3: Cross multiply
    1,754,262.56x = 2,624,256.56 × 2,624,256.56
  4. Step 4: Simplify right side
    1,754,262.56x = 6,886,722,505,824.32
  5. Step 5: Solve for x
    x = 6,886,722,505,824.32/1,754,262.56
  6. Step 6: Final answer
    x = 3,925,707.96

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Why These Related Problems?

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