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Finding the Third Proportional to 481,420 and 1,043,192

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Solution

The third proportional to 481,420 and 1,043,192 is: 2,260,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,420 : 1,043,192 = 1,043,192 : x
  2. Step 2: Convert to fraction form
    481,420/1,043,192 = 1,043,192/x
  3. Step 3: Cross multiply
    481,420x = 1,043,192 × 1,043,192
  4. Step 4: Simplify right side
    481,420x = 1,088,249,548,864
  5. Step 5: Solve for x
    x = 1,088,249,548,864/481,420
  6. Step 6: Final answer
    x = 2,260,499.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.