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Finding the Third Proportional to 507,856 and 1,092,176

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Solution

The third proportional to 507,856 and 1,092,176 is: 2,348,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,856 : 1,092,176 = 1,092,176 : x
  2. Step 2: Convert to fraction form
    507,856/1,092,176 = 1,092,176/x
  3. Step 3: Cross multiply
    507,856x = 1,092,176 × 1,092,176
  4. Step 4: Simplify right side
    507,856x = 1,192,848,414,976
  5. Step 5: Solve for x
    x = 1,192,848,414,976/507,856
  6. Step 6: Final answer
    x = 2,348,792.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.