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Finding the Third Proportional to 683,834.25 and 1,582,953.75

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Solution

The third proportional to 683,834.25 and 1,582,953.75 is: 3,664,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,834.25 : 1,582,953.75 = 1,582,953.75 : x
  2. Step 2: Convert to fraction form
    683,834.25/1,582,953.75 = 1,582,953.75/x
  3. Step 3: Cross multiply
    683,834.25x = 1,582,953.75 × 1,582,953.75
  4. Step 4: Simplify right side
    683,834.25x = 2,505,742,574,639.06
  5. Step 5: Solve for x
    x = 2,505,742,574,639.06/683,834.25
  6. Step 6: Final answer
    x = 3,664,254.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.