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Finding the Third Proportional to 1,028,271 and 1,642,041

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Solution

The third proportional to 1,028,271 and 1,642,041 is: 2,622,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,271 : 1,642,041 = 1,642,041 : x
  2. Step 2: Convert to fraction form
    1,028,271/1,642,041 = 1,642,041/x
  3. Step 3: Cross multiply
    1,028,271x = 1,642,041 × 1,642,041
  4. Step 4: Simplify right side
    1,028,271x = 2,696,298,645,681
  5. Step 5: Solve for x
    x = 2,696,298,645,681/1,028,271
  6. Step 6: Final answer
    x = 2,622,167.35

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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.