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Finding the Third Proportional to 600,140 and 1,280,664

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Solution

The third proportional to 600,140 and 1,280,664 is: 2,732,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,140 : 1,280,664 = 1,280,664 : x
  2. Step 2: Convert to fraction form
    600,140/1,280,664 = 1,280,664/x
  3. Step 3: Cross multiply
    600,140x = 1,280,664 × 1,280,664
  4. Step 4: Simplify right side
    600,140x = 1,640,100,280,896
  5. Step 5: Solve for x
    x = 1,640,100,280,896/600,140
  6. Step 6: Final answer
    x = 2,732,862.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.