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Finding the Third Proportional to 1,430,561.25 and 2,005,224.75

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Solution

The third proportional to 1,430,561.25 and 2,005,224.75 is: 2,810,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,561.25 : 2,005,224.75 = 2,005,224.75 : x
  2. Step 2: Convert to fraction form
    1,430,561.25/2,005,224.75 = 2,005,224.75/x
  3. Step 3: Cross multiply
    1,430,561.25x = 2,005,224.75 × 2,005,224.75
  4. Step 4: Simplify right side
    1,430,561.25x = 4,020,926,298,012.56
  5. Step 5: Solve for x
    x = 4,020,926,298,012.56/1,430,561.25
  6. Step 6: Final answer
    x = 2,810,733.41

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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.