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Finding the Third Proportional to 650,653 and 1,380,035

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Solution

The third proportional to 650,653 and 1,380,035 is: 2,927,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,653 : 1,380,035 = 1,380,035 : x
  2. Step 2: Convert to fraction form
    650,653/1,380,035 = 1,380,035/x
  3. Step 3: Cross multiply
    650,653x = 1,380,035 × 1,380,035
  4. Step 4: Simplify right side
    650,653x = 1,904,496,601,225
  5. Step 5: Solve for x
    x = 1,904,496,601,225/650,653
  6. Step 6: Final answer
    x = 2,927,054.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.