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Finding the Third Proportional to 1,684,562 and 3,684,052

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Solution

The third proportional to 1,684,562 and 3,684,052 is: 8,056,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,562 : 3,684,052 = 3,684,052 : x
  2. Step 2: Convert to fraction form
    1,684,562/3,684,052 = 3,684,052/x
  3. Step 3: Cross multiply
    1,684,562x = 3,684,052 × 3,684,052
  4. Step 4: Simplify right side
    1,684,562x = 13,572,239,138,704
  5. Step 5: Solve for x
    x = 13,572,239,138,704/1,684,562
  6. Step 6: Final answer
    x = 8,056,835.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.