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Finding the Third Proportional to 825,918 and 1,250,307

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Solution

The third proportional to 825,918 and 1,250,307 is: 1,892,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,918 : 1,250,307 = 1,250,307 : x
  2. Step 2: Convert to fraction form
    825,918/1,250,307 = 1,250,307/x
  3. Step 3: Cross multiply
    825,918x = 1,250,307 × 1,250,307
  4. Step 4: Simplify right side
    825,918x = 1,563,267,594,249
  5. Step 5: Solve for x
    x = 1,563,267,594,249/825,918
  6. Step 6: Final answer
    x = 1,892,763.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.