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Finding the Third Proportional to 437,560 and 960,654

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Solution

The third proportional to 437,560 and 960,654 is: 2,109,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,560 : 960,654 = 960,654 : x
  2. Step 2: Convert to fraction form
    437,560/960,654 = 960,654/x
  3. Step 3: Cross multiply
    437,560x = 960,654 × 960,654
  4. Step 4: Simplify right side
    437,560x = 922,856,107,716
  5. Step 5: Solve for x
    x = 922,856,107,716/437,560
  6. Step 6: Final answer
    x = 2,109,096.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.