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Finding the Third Proportional to 680,510 and 1,485,538

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Solution

The third proportional to 680,510 and 1,485,538 is: 3,242,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,510 : 1,485,538 = 1,485,538 : x
  2. Step 2: Convert to fraction form
    680,510/1,485,538 = 1,485,538/x
  3. Step 3: Cross multiply
    680,510x = 1,485,538 × 1,485,538
  4. Step 4: Simplify right side
    680,510x = 2,206,823,149,444
  5. Step 5: Solve for x
    x = 2,206,823,149,444/680,510
  6. Step 6: Final answer
    x = 3,242,895.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.