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Finding the Third Proportional to 638,870 and 1,366,382

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Solution

The third proportional to 638,870 and 1,366,382 is: 2,922,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,870 : 1,366,382 = 1,366,382 : x
  2. Step 2: Convert to fraction form
    638,870/1,366,382 = 1,366,382/x
  3. Step 3: Cross multiply
    638,870x = 1,366,382 × 1,366,382
  4. Step 4: Simplify right side
    638,870x = 1,866,999,769,924
  5. Step 5: Solve for x
    x = 1,866,999,769,924/638,870
  6. Step 6: Final answer
    x = 2,922,346.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.