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Finding the Third Proportional to 1,140,419.25 and 1,594,376.16

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Solution

The third proportional to 1,140,419.25 and 1,594,376.16 is: 2,229,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,419.25 : 1,594,376.16 = 1,594,376.16 : x
  2. Step 2: Convert to fraction form
    1,140,419.25/1,594,376.16 = 1,594,376.16/x
  3. Step 3: Cross multiply
    1,140,419.25x = 1,594,376.16 × 1,594,376.16
  4. Step 4: Simplify right side
    1,140,419.25x = 2,542,035,327,618.52
  5. Step 5: Solve for x
    x = 2,542,035,327,618.52/1,140,419.25
  6. Step 6: Final answer
    x = 2,229,035.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.