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Finding the Third Proportional to 430,902 and 943,884

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Solution

The third proportional to 430,902 and 943,884 is: 2,067,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,902 : 943,884 = 943,884 : x
  2. Step 2: Convert to fraction form
    430,902/943,884 = 943,884/x
  3. Step 3: Cross multiply
    430,902x = 943,884 × 943,884
  4. Step 4: Simplify right side
    430,902x = 890,917,005,456
  5. Step 5: Solve for x
    x = 890,917,005,456/430,902
  6. Step 6: Final answer
    x = 2,067,562.94

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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.