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Finding the Third Proportional to 1,309,956 and 2,083,036

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Solution

The third proportional to 1,309,956 and 2,083,036 is: 3,312,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,956 : 2,083,036 = 2,083,036 : x
  2. Step 2: Convert to fraction form
    1,309,956/2,083,036 = 2,083,036/x
  3. Step 3: Cross multiply
    1,309,956x = 2,083,036 × 2,083,036
  4. Step 4: Simplify right side
    1,309,956x = 4,339,038,977,296
  5. Step 5: Solve for x
    x = 4,339,038,977,296/1,309,956
  6. Step 6: Final answer
    x = 3,312,354.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.