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Finding the Third Proportional to 625,824 and 1,284,824.25

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Solution

The third proportional to 625,824 and 1,284,824.25 is: 2,637,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,824 : 1,284,824.25 = 1,284,824.25 : x
  2. Step 2: Convert to fraction form
    625,824/1,284,824.25 = 1,284,824.25/x
  3. Step 3: Cross multiply
    625,824x = 1,284,824.25 × 1,284,824.25
  4. Step 4: Simplify right side
    625,824x = 1,650,773,353,388.06
  5. Step 5: Solve for x
    x = 1,650,773,353,388.06/625,824
  6. Step 6: Final answer
    x = 2,637,759.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.