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Finding the Third Proportional to 641,201 and 1,410,382

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Solution

The third proportional to 641,201 and 1,410,382 is: 3,102,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,201 : 1,410,382 = 1,410,382 : x
  2. Step 2: Convert to fraction form
    641,201/1,410,382 = 1,410,382/x
  3. Step 3: Cross multiply
    641,201x = 1,410,382 × 1,410,382
  4. Step 4: Simplify right side
    641,201x = 1,989,177,385,924
  5. Step 5: Solve for x
    x = 1,989,177,385,924/641,201
  6. Step 6: Final answer
    x = 3,102,268.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.