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Finding the Third Proportional to 454,581 and 957,087

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Solution

The third proportional to 454,581 and 957,087 is: 2,015,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,581 : 957,087 = 957,087 : x
  2. Step 2: Convert to fraction form
    454,581/957,087 = 957,087/x
  3. Step 3: Cross multiply
    454,581x = 957,087 × 957,087
  4. Step 4: Simplify right side
    454,581x = 916,015,525,569
  5. Step 5: Solve for x
    x = 916,015,525,569/454,581
  6. Step 6: Final answer
    x = 2,015,076.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.