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Finding the Third Proportional to 964,043 and 2,036,446

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Solution

The third proportional to 964,043 and 2,036,446 is: 4,301,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,043 : 2,036,446 = 2,036,446 : x
  2. Step 2: Convert to fraction form
    964,043/2,036,446 = 2,036,446/x
  3. Step 3: Cross multiply
    964,043x = 2,036,446 × 2,036,446
  4. Step 4: Simplify right side
    964,043x = 4,147,112,310,916
  5. Step 5: Solve for x
    x = 4,147,112,310,916/964,043
  6. Step 6: Final answer
    x = 4,301,791.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.