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Finding the Third Proportional to 611,886 and 1,325,448

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Solution

The third proportional to 611,886 and 1,325,448 is: 2,871,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,886 : 1,325,448 = 1,325,448 : x
  2. Step 2: Convert to fraction form
    611,886/1,325,448 = 1,325,448/x
  3. Step 3: Cross multiply
    611,886x = 1,325,448 × 1,325,448
  4. Step 4: Simplify right side
    611,886x = 1,756,812,400,704
  5. Step 5: Solve for x
    x = 1,756,812,400,704/611,886
  6. Step 6: Final answer
    x = 2,871,143.32

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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.