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Finding the Third Proportional to 754,219 and 1,649,436

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Solution

The third proportional to 754,219 and 1,649,436 is: 3,607,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,219 : 1,649,436 = 1,649,436 : x
  2. Step 2: Convert to fraction form
    754,219/1,649,436 = 1,649,436/x
  3. Step 3: Cross multiply
    754,219x = 1,649,436 × 1,649,436
  4. Step 4: Simplify right side
    754,219x = 2,720,639,118,096
  5. Step 5: Solve for x
    x = 2,720,639,118,096/754,219
  6. Step 6: Final answer
    x = 3,607,226.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.