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Finding the Third Proportional to 481,460 and 1,043,272

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Solution

The third proportional to 481,460 and 1,043,272 is: 2,260,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,460 : 1,043,272 = 1,043,272 : x
  2. Step 2: Convert to fraction form
    481,460/1,043,272 = 1,043,272/x
  3. Step 3: Cross multiply
    481,460x = 1,043,272 × 1,043,272
  4. Step 4: Simplify right side
    481,460x = 1,088,416,465,984
  5. Step 5: Solve for x
    x = 1,088,416,465,984/481,460
  6. Step 6: Final answer
    x = 2,260,658.14

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