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Finding the Third Proportional to 489,326 and 1,037,456

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Solution

The third proportional to 489,326 and 1,037,456 is: 2,199,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,326 : 1,037,456 = 1,037,456 : x
  2. Step 2: Convert to fraction form
    489,326/1,037,456 = 1,037,456/x
  3. Step 3: Cross multiply
    489,326x = 1,037,456 × 1,037,456
  4. Step 4: Simplify right side
    489,326x = 1,076,314,951,936
  5. Step 5: Solve for x
    x = 1,076,314,951,936/489,326
  6. Step 6: Final answer
    x = 2,199,586.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.