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Finding the Third Proportional to 684,066 and 1,052,994

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Solution

The third proportional to 684,066 and 1,052,994 is: 1,620,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,066 : 1,052,994 = 1,052,994 : x
  2. Step 2: Convert to fraction form
    684,066/1,052,994 = 1,052,994/x
  3. Step 3: Cross multiply
    684,066x = 1,052,994 × 1,052,994
  4. Step 4: Simplify right side
    684,066x = 1,108,796,364,036
  5. Step 5: Solve for x
    x = 1,108,796,364,036/684,066
  6. Step 6: Final answer
    x = 1,620,890.91

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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.