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Finding the Third Proportional to 1,784,233.50 and 2,543,490

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Solution

The third proportional to 1,784,233.50 and 2,543,490 is: 3,625,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,233.50 : 2,543,490 = 2,543,490 : x
  2. Step 2: Convert to fraction form
    1,784,233.50/2,543,490 = 2,543,490/x
  3. Step 3: Cross multiply
    1,784,233.50x = 2,543,490 × 2,543,490
  4. Step 4: Simplify right side
    1,784,233.50x = 6,469,341,380,100
  5. Step 5: Solve for x
    x = 6,469,341,380,100/1,784,233.50
  6. Step 6: Final answer
    x = 3,625,837.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.