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Finding the Third Proportional to 1,334,693.25 and 2,068,395.75

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Solution

The third proportional to 1,334,693.25 and 2,068,395.75 is: 3,205,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,693.25 : 2,068,395.75 = 2,068,395.75 : x
  2. Step 2: Convert to fraction form
    1,334,693.25/2,068,395.75 = 2,068,395.75/x
  3. Step 3: Cross multiply
    1,334,693.25x = 2,068,395.75 × 2,068,395.75
  4. Step 4: Simplify right side
    1,334,693.25x = 4,278,260,978,618.06
  5. Step 5: Solve for x
    x = 4,278,260,978,618.06/1,334,693.25
  6. Step 6: Final answer
    x = 3,205,426.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.