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Finding the Third Proportional to 507,965 and 1,085,913

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Solution

The third proportional to 507,965 and 1,085,913 is: 2,321,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,965 : 1,085,913 = 1,085,913 : x
  2. Step 2: Convert to fraction form
    507,965/1,085,913 = 1,085,913/x
  3. Step 3: Cross multiply
    507,965x = 1,085,913 × 1,085,913
  4. Step 4: Simplify right side
    507,965x = 1,179,207,043,569
  5. Step 5: Solve for x
    x = 1,179,207,043,569/507,965
  6. Step 6: Final answer
    x = 2,321,433.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.