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Finding the Third Proportional to 431,055 and 943,650

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Solution

The third proportional to 431,055 and 943,650 is: 2,065,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,055 : 943,650 = 943,650 : x
  2. Step 2: Convert to fraction form
    431,055/943,650 = 943,650/x
  3. Step 3: Cross multiply
    431,055x = 943,650 × 943,650
  4. Step 4: Simplify right side
    431,055x = 890,475,322,500
  5. Step 5: Solve for x
    x = 890,475,322,500/431,055
  6. Step 6: Final answer
    x = 2,065,804.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.