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Finding the Third Proportional to 829,512 and 1,226,764

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Solution

The third proportional to 829,512 and 1,226,764 is: 1,814,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,512 : 1,226,764 = 1,226,764 : x
  2. Step 2: Convert to fraction form
    829,512/1,226,764 = 1,226,764/x
  3. Step 3: Cross multiply
    829,512x = 1,226,764 × 1,226,764
  4. Step 4: Simplify right side
    829,512x = 1,504,949,911,696
  5. Step 5: Solve for x
    x = 1,504,949,911,696/829,512
  6. Step 6: Final answer
    x = 1,814,259.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.