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Finding the Third Proportional to 546,996 and 1,181,472

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Solution

The third proportional to 546,996 and 1,181,472 is: 2,551,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,996 : 1,181,472 = 1,181,472 : x
  2. Step 2: Convert to fraction form
    546,996/1,181,472 = 1,181,472/x
  3. Step 3: Cross multiply
    546,996x = 1,181,472 × 1,181,472
  4. Step 4: Simplify right side
    546,996x = 1,395,876,086,784
  5. Step 5: Solve for x
    x = 1,395,876,086,784/546,996
  6. Step 6: Final answer
    x = 2,551,894.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.