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Finding the Third Proportional to 683,812.50 and 1,467,315

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Solution

The third proportional to 683,812.50 and 1,467,315 is: 3,148,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,812.50 : 1,467,315 = 1,467,315 : x
  2. Step 2: Convert to fraction form
    683,812.50/1,467,315 = 1,467,315/x
  3. Step 3: Cross multiply
    683,812.50x = 1,467,315 × 1,467,315
  4. Step 4: Simplify right side
    683,812.50x = 2,153,013,309,225
  5. Step 5: Solve for x
    x = 2,153,013,309,225/683,812.50
  6. Step 6: Final answer
    x = 3,148,543.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.