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Finding the Third Proportional to 1,296,948 and 2,071,899

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Solution

The third proportional to 1,296,948 and 2,071,899 is: 3,309,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,948 : 2,071,899 = 2,071,899 : x
  2. Step 2: Convert to fraction form
    1,296,948/2,071,899 = 2,071,899/x
  3. Step 3: Cross multiply
    1,296,948x = 2,071,899 × 2,071,899
  4. Step 4: Simplify right side
    1,296,948x = 4,292,765,466,201
  5. Step 5: Solve for x
    x = 4,292,765,466,201/1,296,948
  6. Step 6: Final answer
    x = 3,309,897.90

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.