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Finding the Third Proportional to 600,324 and 1,280,984

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Solution

The third proportional to 600,324 and 1,280,984 is: 2,733,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,324 : 1,280,984 = 1,280,984 : x
  2. Step 2: Convert to fraction form
    600,324/1,280,984 = 1,280,984/x
  3. Step 3: Cross multiply
    600,324x = 1,280,984 × 1,280,984
  4. Step 4: Simplify right side
    600,324x = 1,640,920,008,256
  5. Step 5: Solve for x
    x = 1,640,920,008,256/600,324
  6. Step 6: Final answer
    x = 2,733,390.65

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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.