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Finding the Third Proportional to 1,049,901.75 and 1,624,056.75

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Solution

The third proportional to 1,049,901.75 and 1,624,056.75 is: 2,512,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,901.75 : 1,624,056.75 = 1,624,056.75 : x
  2. Step 2: Convert to fraction form
    1,049,901.75/1,624,056.75 = 1,624,056.75/x
  3. Step 3: Cross multiply
    1,049,901.75x = 1,624,056.75 × 1,624,056.75
  4. Step 4: Simplify right side
    1,049,901.75x = 2,637,560,327,220.56
  5. Step 5: Solve for x
    x = 2,637,560,327,220.56/1,049,901.75
  6. Step 6: Final answer
    x = 2,512,197.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.