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Finding the Third Proportional to 626,784 and 954,872

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Solution

The third proportional to 626,784 and 954,872 is: 1,454,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,784 : 954,872 = 954,872 : x
  2. Step 2: Convert to fraction form
    626,784/954,872 = 954,872/x
  3. Step 3: Cross multiply
    626,784x = 954,872 × 954,872
  4. Step 4: Simplify right side
    626,784x = 911,780,536,384
  5. Step 5: Solve for x
    x = 911,780,536,384/626,784
  6. Step 6: Final answer
    x = 1,454,696.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.