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Finding the Third Proportional to 1,081,935 and 1,684,140

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Solution

The third proportional to 1,081,935 and 1,684,140 is: 2,621,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,935 : 1,684,140 = 1,684,140 : x
  2. Step 2: Convert to fraction form
    1,081,935/1,684,140 = 1,684,140/x
  3. Step 3: Cross multiply
    1,081,935x = 1,684,140 × 1,684,140
  4. Step 4: Simplify right side
    1,081,935x = 2,836,327,539,600
  5. Step 5: Solve for x
    x = 2,836,327,539,600/1,081,935
  6. Step 6: Final answer
    x = 2,621,532.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.