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Finding the Third Proportional to 514,942.50 and 1,127,979

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Solution

The third proportional to 514,942.50 and 1,127,979 is: 2,470,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,942.50 : 1,127,979 = 1,127,979 : x
  2. Step 2: Convert to fraction form
    514,942.50/1,127,979 = 1,127,979/x
  3. Step 3: Cross multiply
    514,942.50x = 1,127,979 × 1,127,979
  4. Step 4: Simplify right side
    514,942.50x = 1,272,336,624,441
  5. Step 5: Solve for x
    x = 1,272,336,624,441/514,942.50
  6. Step 6: Final answer
    x = 2,470,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.