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Finding the Third Proportional to 684,068 and 1,052,997

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Solution

The third proportional to 684,068 and 1,052,997 is: 1,620,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,068 : 1,052,997 = 1,052,997 : x
  2. Step 2: Convert to fraction form
    684,068/1,052,997 = 1,052,997/x
  3. Step 3: Cross multiply
    684,068x = 1,052,997 × 1,052,997
  4. Step 4: Simplify right side
    684,068x = 1,108,802,682,009
  5. Step 5: Solve for x
    x = 1,108,802,682,009/684,068
  6. Step 6: Final answer
    x = 1,620,895.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.