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Finding the Third Proportional to 413,812 and 888,865

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Solution

The third proportional to 413,812 and 888,865 is: 1,909,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,812 : 888,865 = 888,865 : x
  2. Step 2: Convert to fraction form
    413,812/888,865 = 888,865/x
  3. Step 3: Cross multiply
    413,812x = 888,865 × 888,865
  4. Step 4: Simplify right side
    413,812x = 790,080,988,225
  5. Step 5: Solve for x
    x = 790,080,988,225/413,812
  6. Step 6: Final answer
    x = 1,909,275.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.