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Finding the Third Proportional to 648,872 and 1,008,219

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Solution

The third proportional to 648,872 and 1,008,219 is: 1,566,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,872 : 1,008,219 = 1,008,219 : x
  2. Step 2: Convert to fraction form
    648,872/1,008,219 = 1,008,219/x
  3. Step 3: Cross multiply
    648,872x = 1,008,219 × 1,008,219
  4. Step 4: Simplify right side
    648,872x = 1,016,505,551,961
  5. Step 5: Solve for x
    x = 1,016,505,551,961/648,872
  6. Step 6: Final answer
    x = 1,566,573.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.