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Finding the Third Proportional to 614,946.94 and 1,269,285.19

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Solution

The third proportional to 614,946.94 and 1,269,285.19 is: 2,619,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,946.94 : 1,269,285.19 = 1,269,285.19 : x
  2. Step 2: Convert to fraction form
    614,946.94/1,269,285.19 = 1,269,285.19/x
  3. Step 3: Cross multiply
    614,946.94x = 1,269,285.19 × 1,269,285.19
  4. Step 4: Simplify right side
    614,946.94x = 1,611,084,887,206.91
  5. Step 5: Solve for x
    x = 1,611,084,887,206.91/614,946.94
  6. Step 6: Final answer
    x = 2,619,876.27

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.