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Finding the Third Proportional to 407,968 and 888,519

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Solution

The third proportional to 407,968 and 888,519 is: 1,935,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,968 : 888,519 = 888,519 : x
  2. Step 2: Convert to fraction form
    407,968/888,519 = 888,519/x
  3. Step 3: Cross multiply
    407,968x = 888,519 × 888,519
  4. Step 4: Simplify right side
    407,968x = 789,466,013,361
  5. Step 5: Solve for x
    x = 789,466,013,361/407,968
  6. Step 6: Final answer
    x = 1,935,117.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.