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Finding the Third Proportional to 600,280 and 1,416,984

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Solution

The third proportional to 600,280 and 1,416,984 is: 3,344,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,280 : 1,416,984 = 1,416,984 : x
  2. Step 2: Convert to fraction form
    600,280/1,416,984 = 1,416,984/x
  3. Step 3: Cross multiply
    600,280x = 1,416,984 × 1,416,984
  4. Step 4: Simplify right side
    600,280x = 2,007,843,656,256
  5. Step 5: Solve for x
    x = 2,007,843,656,256/600,280
  6. Step 6: Final answer
    x = 3,344,845.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.