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Finding the Third Proportional to 435,477 and 888,447

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Solution

The third proportional to 435,477 and 888,447 is: 1,812,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,477 : 888,447 = 888,447 : x
  2. Step 2: Convert to fraction form
    435,477/888,447 = 888,447/x
  3. Step 3: Cross multiply
    435,477x = 888,447 × 888,447
  4. Step 4: Simplify right side
    435,477x = 789,338,071,809
  5. Step 5: Solve for x
    x = 789,338,071,809/435,477
  6. Step 6: Final answer
    x = 1,812,582.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.