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Finding the Third Proportional to 924,057 and 1,382,325

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Solution

The third proportional to 924,057 and 1,382,325 is: 2,067,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,057 : 1,382,325 = 1,382,325 : x
  2. Step 2: Convert to fraction form
    924,057/1,382,325 = 1,382,325/x
  3. Step 3: Cross multiply
    924,057x = 1,382,325 × 1,382,325
  4. Step 4: Simplify right side
    924,057x = 1,910,822,405,625
  5. Step 5: Solve for x
    x = 1,910,822,405,625/924,057
  6. Step 6: Final answer
    x = 2,067,862.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.