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Finding the Third Proportional to 514,966 and 1,043,939

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Solution

The third proportional to 514,966 and 1,043,939 is: 2,116,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,966 : 1,043,939 = 1,043,939 : x
  2. Step 2: Convert to fraction form
    514,966/1,043,939 = 1,043,939/x
  3. Step 3: Cross multiply
    514,966x = 1,043,939 × 1,043,939
  4. Step 4: Simplify right side
    514,966x = 1,089,808,635,721
  5. Step 5: Solve for x
    x = 1,089,808,635,721/514,966
  6. Step 6: Final answer
    x = 2,116,272.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.