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Finding the Third Proportional to 667,484.63 and 1,382,280

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Solution

The third proportional to 667,484.63 and 1,382,280 is: 2,862,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,484.63 : 1,382,280 = 1,382,280 : x
  2. Step 2: Convert to fraction form
    667,484.63/1,382,280 = 1,382,280/x
  3. Step 3: Cross multiply
    667,484.63x = 1,382,280 × 1,382,280
  4. Step 4: Simplify right side
    667,484.63x = 1,910,697,998,400
  5. Step 5: Solve for x
    x = 1,910,697,998,400/667,484.63
  6. Step 6: Final answer
    x = 2,862,534.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.