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Finding the Third Proportional to 638,290 and 1,382,960

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Solution

The third proportional to 638,290 and 1,382,960 is: 2,996,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,290 : 1,382,960 = 1,382,960 : x
  2. Step 2: Convert to fraction form
    638,290/1,382,960 = 1,382,960/x
  3. Step 3: Cross multiply
    638,290x = 1,382,960 × 1,382,960
  4. Step 4: Simplify right side
    638,290x = 1,912,578,361,600
  5. Step 5: Solve for x
    x = 1,912,578,361,600/638,290
  6. Step 6: Final answer
    x = 2,996,409.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.