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Finding the Third Proportional to 655,996 and 1,441,146

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Solution

The third proportional to 655,996 and 1,441,146 is: 3,166,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,996 : 1,441,146 = 1,441,146 : x
  2. Step 2: Convert to fraction form
    655,996/1,441,146 = 1,441,146/x
  3. Step 3: Cross multiply
    655,996x = 1,441,146 × 1,441,146
  4. Step 4: Simplify right side
    655,996x = 2,076,901,793,316
  5. Step 5: Solve for x
    x = 2,076,901,793,316/655,996
  6. Step 6: Final answer
    x = 3,166,028.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.