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Finding the Third Proportional to 416,573 and 896,434

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Solution

The third proportional to 416,573 and 896,434 is: 1,929,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,573 : 896,434 = 896,434 : x
  2. Step 2: Convert to fraction form
    416,573/896,434 = 896,434/x
  3. Step 3: Cross multiply
    416,573x = 896,434 × 896,434
  4. Step 4: Simplify right side
    416,573x = 803,593,916,356
  5. Step 5: Solve for x
    x = 803,593,916,356/416,573
  6. Step 6: Final answer
    x = 1,929,059.05

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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.