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Finding the Third Proportional to 410,496 and 896,256

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Solution

The third proportional to 410,496 and 896,256 is: 1,956,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,496 : 896,256 = 896,256 : x
  2. Step 2: Convert to fraction form
    410,496/896,256 = 896,256/x
  3. Step 3: Cross multiply
    410,496x = 896,256 × 896,256
  4. Step 4: Simplify right side
    410,496x = 803,274,817,536
  5. Step 5: Solve for x
    x = 803,274,817,536/410,496
  6. Step 6: Final answer
    x = 1,956,839.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.