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Finding the Third Proportional to 1,013,969 and 2,201,256

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Solution

The third proportional to 1,013,969 and 2,201,256 is: 4,778,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,969 : 2,201,256 = 2,201,256 : x
  2. Step 2: Convert to fraction form
    1,013,969/2,201,256 = 2,201,256/x
  3. Step 3: Cross multiply
    1,013,969x = 2,201,256 × 2,201,256
  4. Step 4: Simplify right side
    1,013,969x = 4,845,527,977,536
  5. Step 5: Solve for x
    x = 4,845,527,977,536/1,013,969
  6. Step 6: Final answer
    x = 4,778,773.29

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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.