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Finding the Third Proportional to 782,263.50 and 1,624,476

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Solution

The third proportional to 782,263.50 and 1,624,476 is: 3,373,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,263.50 : 1,624,476 = 1,624,476 : x
  2. Step 2: Convert to fraction form
    782,263.50/1,624,476 = 1,624,476/x
  3. Step 3: Cross multiply
    782,263.50x = 1,624,476 × 1,624,476
  4. Step 4: Simplify right side
    782,263.50x = 2,638,922,274,576
  5. Step 5: Solve for x
    x = 2,638,922,274,576/782,263.50
  6. Step 6: Final answer
    x = 3,373,444.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.