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Finding the Third Proportional to 600,054 and 1,280,460

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Solution

The third proportional to 600,054 and 1,280,460 is: 2,732,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,054 : 1,280,460 = 1,280,460 : x
  2. Step 2: Convert to fraction form
    600,054/1,280,460 = 1,280,460/x
  3. Step 3: Cross multiply
    600,054x = 1,280,460 × 1,280,460
  4. Step 4: Simplify right side
    600,054x = 1,639,577,811,600
  5. Step 5: Solve for x
    x = 1,639,577,811,600/600,054
  6. Step 6: Final answer
    x = 2,732,383.77

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Why These Related Problems?

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