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Finding the Third Proportional to 1,309,948 and 2,083,019

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Solution

The third proportional to 1,309,948 and 2,083,019 is: 3,312,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,948 : 2,083,019 = 2,083,019 : x
  2. Step 2: Convert to fraction form
    1,309,948/2,083,019 = 2,083,019/x
  3. Step 3: Cross multiply
    1,309,948x = 2,083,019 × 2,083,019
  4. Step 4: Simplify right side
    1,309,948x = 4,338,968,154,361
  5. Step 5: Solve for x
    x = 4,338,968,154,361/1,309,948
  6. Step 6: Final answer
    x = 3,312,320.91

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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.