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Finding the Third Proportional to 1,430,439 and 2,004,755.25

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Solution

The third proportional to 1,430,439 and 2,004,755.25 is: 2,809,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,439 : 2,004,755.25 = 2,004,755.25 : x
  2. Step 2: Convert to fraction form
    1,430,439/2,004,755.25 = 2,004,755.25/x
  3. Step 3: Cross multiply
    1,430,439x = 2,004,755.25 × 2,004,755.25
  4. Step 4: Simplify right side
    1,430,439x = 4,019,043,612,402.56
  5. Step 5: Solve for x
    x = 4,019,043,612,402.56/1,430,439
  6. Step 6: Final answer
    x = 2,809,657.46

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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.