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Finding the Third Proportional to 1,204,323 and 1,640,362

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Solution

The third proportional to 1,204,323 and 1,640,362 is: 2,234,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,323 : 1,640,362 = 1,640,362 : x
  2. Step 2: Convert to fraction form
    1,204,323/1,640,362 = 1,640,362/x
  3. Step 3: Cross multiply
    1,204,323x = 1,640,362 × 1,640,362
  4. Step 4: Simplify right side
    1,204,323x = 2,690,787,491,044
  5. Step 5: Solve for x
    x = 2,690,787,491,044/1,204,323
  6. Step 6: Final answer
    x = 2,234,273.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.