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Finding the Third Proportional to 431,057 and 943,654

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Solution

The third proportional to 431,057 and 943,654 is: 2,065,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,057 : 943,654 = 943,654 : x
  2. Step 2: Convert to fraction form
    431,057/943,654 = 943,654/x
  3. Step 3: Cross multiply
    431,057x = 943,654 × 943,654
  4. Step 4: Simplify right side
    431,057x = 890,482,871,716
  5. Step 5: Solve for x
    x = 890,482,871,716/431,057
  6. Step 6: Final answer
    x = 2,065,812.34

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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.