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Finding the Third Proportional to 465,435 and 1,002,114

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Solution

The third proportional to 465,435 and 1,002,114 is: 2,157,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,435 : 1,002,114 = 1,002,114 : x
  2. Step 2: Convert to fraction form
    465,435/1,002,114 = 1,002,114/x
  3. Step 3: Cross multiply
    465,435x = 1,002,114 × 1,002,114
  4. Step 4: Simplify right side
    465,435x = 1,004,232,468,996
  5. Step 5: Solve for x
    x = 1,004,232,468,996/465,435
  6. Step 6: Final answer
    x = 2,157,621.30

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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.