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Finding the Third Proportional to 1,468,000.50 and 3,224,685

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Solution

The third proportional to 1,468,000.50 and 3,224,685 is: 7,083,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,000.50 : 3,224,685 = 3,224,685 : x
  2. Step 2: Convert to fraction form
    1,468,000.50/3,224,685 = 3,224,685/x
  3. Step 3: Cross multiply
    1,468,000.50x = 3,224,685 × 3,224,685
  4. Step 4: Simplify right side
    1,468,000.50x = 10,398,593,349,225
  5. Step 5: Solve for x
    x = 10,398,593,349,225/1,468,000.50
  6. Step 6: Final answer
    x = 7,083,508.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.