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Finding the Third Proportional to 431,477 and 938,707

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Solution

The third proportional to 431,477 and 938,707 is: 2,042,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,477 : 938,707 = 938,707 : x
  2. Step 2: Convert to fraction form
    431,477/938,707 = 938,707/x
  3. Step 3: Cross multiply
    431,477x = 938,707 × 938,707
  4. Step 4: Simplify right side
    431,477x = 881,170,831,849
  5. Step 5: Solve for x
    x = 881,170,831,849/431,477
  6. Step 6: Final answer
    x = 2,042,219.71

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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.