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Finding the Third Proportional to 431,059 and 943,658

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Solution

The third proportional to 431,059 and 943,658 is: 2,065,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,059 : 943,658 = 943,658 : x
  2. Step 2: Convert to fraction form
    431,059/943,658 = 943,658/x
  3. Step 3: Cross multiply
    431,059x = 943,658 × 943,658
  4. Step 4: Simplify right side
    431,059x = 890,490,420,964
  5. Step 5: Solve for x
    x = 890,490,420,964/431,059
  6. Step 6: Final answer
    x = 2,065,820.27

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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.