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Finding the Third Proportional to 782,523 and 1,649,093

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Solution

The third proportional to 782,523 and 1,649,093 is: 3,475,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,523 : 1,649,093 = 1,649,093 : x
  2. Step 2: Convert to fraction form
    782,523/1,649,093 = 1,649,093/x
  3. Step 3: Cross multiply
    782,523x = 1,649,093 × 1,649,093
  4. Step 4: Simplify right side
    782,523x = 2,719,507,722,649
  5. Step 5: Solve for x
    x = 2,719,507,722,649/782,523
  6. Step 6: Final answer
    x = 3,475,307.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.