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Finding the Third Proportional to 600,051 and 1,280,454

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Solution

The third proportional to 600,051 and 1,280,454 is: 2,732,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,051 : 1,280,454 = 1,280,454 : x
  2. Step 2: Convert to fraction form
    600,051/1,280,454 = 1,280,454/x
  3. Step 3: Cross multiply
    600,051x = 1,280,454 × 1,280,454
  4. Step 4: Simplify right side
    600,051x = 1,639,562,446,116
  5. Step 5: Solve for x
    x = 1,639,562,446,116/600,051
  6. Step 6: Final answer
    x = 2,732,371.83

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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.